Which of the following is NOT a requirement of the Combinations​ Rule, ​, for items that are all​ different? Choose the correct answer below. A. That order is taken into account​ (consider rearrangements of the same items to be different​ sequences). B. That r of the n items are selected​ (without replacement). C. That there be n different items available. D. That order is not taken into account​ (consider rearrangements of the same items to be the​ same).

Answers

Answer 1

Answer: A. That order is taken into account​ (consider rearrangements of the same items to be different​ sequences).

Step-by-step explanation:

The combination is usually given by the formula below:

C n,x = n! / x! (n-x)!

We should note that the requirements for a combination rule include:

• That r of the n items are selected​ (without replacement).

• That there be n different items available.

• That order is not taken into account​ (consider rearrangements of the same items to be the​ same).

Therefore, the option that is not a requirement of the Combinations​ Rule, ​, for the items that are all​ different will then be option A"That order is taken into account​ (consider rearrangements of the same items to be different​ sequences).


Related Questions

the tax on a purchase of $20 is $2.80. How much tax will there be on a purchase of $45.50?

Answers

Answer:

$6.37

Step-by-step explanation:

You divide 2.80 by 20 to find the percentage of tax then you simply multiply your percentange by the cost. In this problem the tax was 14% or .14, so you multiply .14 by 45.50 to find the amount of tax on the purchase

Help please someone A, B, or C ?

Answers

Answer:

it got to be b 2:2

Make a equation for the scatter plot line

Answers

Answer:

y = -7.2x + 540

Step-by-step explanation:

to find the slope I used the x-and-y intercepts: (0, 540) and (75, 0)

slope = 540/-75 or -7.2

(9x10^10) - (4x10^10)

Answers

Answer: 50000000000 is your answer.

Step-by-step explanation:

1
Cindy has a 4-shelf bookcase in which she wants to place baskets. Each basket takes up of one shelf as shown
4
Cindy wants to place as many baskets on the shelves as possible. How many baskets can Cindy place on the 4 shelves?
Previous

Answers

Answer:

obviously 16 books....

Is this right? Please help

Answers

Answer: I believe that is correct! good jobbb

Step-by-step explanation:

Which number produces an irrational number when multiplied by
1/3

Answers

Answer:

all of them 1/3 is irrational

Step-by-step explanation:

Given that A and I are the centers of the congruent circles shown below, compare the quantity in column A with the quantity in column B. Choose the best answer. The quantity in column A is greater. The quantity in column B is greater. The two quantities are equal. The relationship cannot be determined from the information given.

Answers

Answer: The two quantities are equal

Step-by-step explanation:

Edge2021

C. The two quantities are equal

Step-by-step explanation:

Edge 2020 2021

Which of the following World Record times from Track and Field is least
precise?
A. 47.6 seconds (400 m -Women)
B. 43.18 seconds (400 m - Men)
C. 21.34 seconds (200 m-Women)
D. 9.79 seconds (100 m - Men)

Answers

Answer:

THE ANSWER SHOULD BE D OR B

Step-by-step explanation:

I DON'T KNOW

Suppose two angles in a coordinate plane, one measuring 80° and the other measuring 160°, were both rotated 180° about the origin and then translated 40 units down. Which of these would be a measure of
one of the resulting angles? Select all that apply.
160°
340°
80°
40°
120°
260°

Answers

Answer:120 and 160

Step-by-step explanation:

i did it

80° and 160° could be a measure of one of the resulting angles.

What are angles?

Two rays intersect to form a angle. The point of intersection is called the vertex point.

Given is that  two angles in a coordinate plane, one measuring 80° and the other measuring 160°, were both rotated 180° about the origin and then translated 40 units down.

There is no effect of rotation and translations on the angles. Hence, we can say that 80° and 160° could be a measure of one of the resulting angles.

Therefore, 80° and 160° could be a measure of one of the resulting angles.

To solve more questions on angles visit the link below-

brainly.com/question/1041084

#SPJ6

What is an equation of the line that passes through the point
(−1,−3) and is parallel to the line 4x-y=2?

Answers

Answer:  y = 4x + 11

Step-by-step explanation:First, you put the equation into the standard “slope/intercept” form.

4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :

y = 4x - 2

In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.

y = 4x - a (generic)

ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.

We find this by putting our point value into the equation:

3 = 4(-2) + a ; 3 = -8 + a ; a = 11

Thus, our “parallel line equation” through the point (-2,3) is:

y = 4x + 11

Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right?

Answers

g(x) = (1.6)x − 9 + 5

Answer:

It's C. g(x) = (1.6)x − 9 + 5

Step-by-step explanation: hope it helps ^w^

HELP HELP
Tommy rides in a motorboat against a river current for 25 km. Then he returns to his starting point by floating down river on a raft. Tommy travels 10 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 12 km/h.

Answers

The speed of current is [tex]\rm 2 \:km/h[/tex].

What is the relation between distance,speed and time?

The relationship between distance, time and speed can be presented as:

[tex]\begin{aligned} \rm Distance &= Speed \times Time\\\\Speed &= \dfrac{\rm Distance}{Time} \\\\\rm Time &= \dfrac{\rm Distance}{\rm Speed} \end[/tex]

Calculations:

Given:

[tex]\begin{aligned} \rm Distance\: traveled\: on\: motorboat &= 25\:km\\\rm Speed\:of\:motorboat\:in\:still\:water &= 12\:km/h \end[/tex]  

 

Let the speed of the current be [tex]\rm x[/tex]

 

The speed of the boat traveling against the current is [tex]{(12 -\rm x) km/h}[/tex]

 

Time spent on motorboat is 10 hours less than time spent on raft.

Therefore:

[tex]\rm \dfrac{25km}{x\:km/h} - \dfrac{25km}{(12 - x)km/h} = 10[/tex]


The equation obtained will be:

[tex]\dfrac{25}{\rm x} - \dfrac{25}{(12-\rm x)} - = 10[/tex]

 

Multiplying both sides of the equation by [tex]\rm x(12 - x )[/tex]

[tex]\begin{aligned} \rm 25(12 - x) - 25x &= 10\times \rm x(12 - x)\\\\300 - 25x - 25x &= 120x - 10x^2\\\\300 - 50x &= 120x - 10x^2\\\\10x^2 - 120x - 50x + 300 &= 0\\\\10x^2 - 170x +300 &= 0\end[/tex]

Dividing the equation by 10

[tex]\rm x^2 - 17x + 30 = 0[/tex]

On factoring the equation,

[tex]\rm =x^2 - 2x -15x + 30 = 0\\\\=x(x - 2) -15(x - 2)\\\\=(x - 2)(x - 15)[/tex]

The values of x is 2 and 15.

Since speed of current i.e  [tex](12 -\rm x)km/h[/tex] cannot be negative, [tex]\rm x = 2[/tex] is the only acceptable value.

 Therefore the speed of current is 2 km/h.

Learn more about the topic here:

https://brainly.com/question/2292310

A rectangle has a length of (5x+2) and a width of (3x-1) with an area of 308 square units. Find the perimeter

Answers

See photo. Hope this helps

PLS HELPPP
What value of x would make the following relation a function?
{(-3,-2),(2,3),(3,2),(x,2)}

A. -3
B. -2
C. 2
D. 3

Answers

A........................................

(x2 – 3x + 2)/(4x - 16)

Answers

Answer:

Pretty sure it's x^2−3x+2/4x-16  

Step-by-step explanation:

Which is larger ? A : 13 + 1.05g B : 12 + 1.50g

Answers

I’m pretty sure A is larger

what shape can be formed from the following net?​

Answers

Answer:

A Triangular Prism    

Hope that helps!

Step-by-step explanation:

Answer: Triage

Step-by-step explanation:

PLEASE HELP MEE it’s urgent

Answers

Answer:

positive9/50

Step-by-step explanation:

9/50

Answer:

the answer is 9/50 (fraction).

Step-by-step explanation:

hope this helped!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Can someone please help!!!

Answers

Answer:

its the 3rd one

Step-by-step explanation:

Ive been staring at this for a long time now, pls help

Answers

Answer:

9

Step-by-step explanation:

I replaced the missing variable with x and solved the equation from there.

Answer:

10.75

Step-by-step explanation:

i got this because the first part says 13 × 3/8 so this means that the numbers 2 × 3/8 + 3/8 + 3/8 and the unknown number have to equal 13. so when u multiply 2 x 3/8 you get .75 and then you add the two other numbers and get 1.5 and then you subtract 1.5 from 13 and you get 11.5

PHEWW

Can someone please help me answer this is a test and I need to hurry

Answers

Answer:

27

Step-by-step explanation:

g Suppose the population 10-year cumulative incidence of prostate cancer among 70-year old men is 0.06. Further, suppose 260 men without prostate cancer, aged 50 years were randomly sampled and 13 of them developed prostate cancer within 10 years. Is there evidence at the 0.05 significance level to conclude that the cumulative incidence of prostate cancer among 50-year old men differs from that of 70-year old men

Answers

Answer:

There is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men

Step-by-step explanation:

The population 10 year cumulative incidence of prostrate cancer among 70 year old men, p = 0.06

The number of 50 year old men in the sample, n = 260 men

The number of the sampled men that developed prostrate cancer = 13 men

The significance level, α = 0.05

Let the null hypothesis, H₀: [tex]\hat{p}[/tex] = p

The alternative hypothesis, Hₐ: [tex]\hat{p}[/tex] ≠ p

The standard score, [tex]z_{\alpha /2}[/tex] = 1.96

The test statistic, 'z', is given as follows;

[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]

[tex]\hat{p}[/tex] = 13/260 = 0.05

q = 1 - p = 1 - 0.06 = 0.94

[tex]Therefore, \ z=\dfrac{0.05-0.06}{\sqrt{\dfrac{0.06 \times 0.94}{260}}} = \dfrac{\sqrt{9165} }{141} \approx -0.68[/tex]

From the z-table, we find the p-value as follows;

P(z ≈ -0.68) = 0.24825

Therefore, given that the p-value, 0.24825 is larger than the significance level, α/2 = 0.025, we fail to reject the null hypothesis, and therefore, there is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men

Please I need help it’s an emergency

Answers

Answer:

i think its b

Step-by-step explanation:

i might be wrong but i think its

[tex]4 \sqrt{3 } [/tex]

C i think
if it’s not correct don’t blame me i’m not sure if I did the math correctly

please help i will give brainliest

Answers

Answer : Line 1


Explanation: at the 1 hour mark on the x axis the line that goes through the 120 mark on the y axis is line 1

HELP SIMPLE MATH PROBLEM!!!!

Answers

Answer:

32

Step-by-step explanation:

Hello There!

The first thing we need to do is find the formula for area of a trapezoid

The formula is

[tex]A=\frac{a+b}{2} h[/tex]

where a= base 1

b = base 2

and h = height

we are given all of the dimensions so all we have to do is plug them in

sp

[tex]A=\frac{12+4}{2} 4\\12+4=16\\\frac{16}{2} =8\\8*4=32[/tex]

so the area of the figure is

32 units ²

Answer:

32

Step-by-step explanation:

Find formula

A=a+b/2 h

a= base 1

b = base 2

h = height

Then plug everything in

32 units ²

The second term in a geometric sequence is 12. The fourth term in the same sequence is 4/3 what is the common ratio in this sequence

Answers

Answer:

The common ratio in this sequence is 6:2 or 4:3

Step-by-step explanation:

hopes this heklps

The matrix is used to solve a problem. Which of the following would be a solution to the problem?

Answers

Answer:

(1,5)

Step-by-step explanation:

Hope this is right.

Answer:

It's (1,0)

Step-by-step explanation:

I got it right on the quiz

Factor the algebraic expression.
12a+9

Answers

3(4a+3)

Hope this helps!! :)

You cannot use critical numbers and test intervals to solve quadratic and
rational inequalities.
True
False

Answers

Answer:

False

Step-by-step explanation:

You can use test intervals and critical numbers to solve quadratic and rational inequalities.

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