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xxTIMURxx [149]
3 years ago
6

How many different ways can the students at a school select the president, vice president and secretary from a group of 5?

Mathematics
2 answers:
ollegr [7]3 years ago
8 0

 

P(5,3) .... or 5P3 if your textbook likes it that way ... = (5)(4)(3) = 60 ways.  

If you don't know about the permutation counting function, P(n,k) is the number of ways to pick k out of n different items, where order matters.  

P(n,k) = n(n-1)(n-2)...(n+1-k)  

It's easier to write with factorials, with P(n,k) = n!/k!, but the above is easier to compute most of the time.  

Without that, you can still solve with common sense. There are 5 ways to pick the president. For each of those, there are 4 choices left for vice president, and for each of those there are 3 choices left for secretary. 5*4*3 =

60 total

sattari [20]3 years ago
4 0
Answer: 60 ways.
Explanation: Suppose that we had 5 people, A, B, C, D, and E, and we had to select a P, VP, and S.

For the President, we have 5 different selections.
If we choose a president, then we can only pick 1 from 4 people for the VP.
Using the same logic, we'd have 3 different choices for the S.

Hence, we have 5 · 4 · 3 different ways.

Alternatively, this is:

\frac{5!}{(5 - 3)!} = ^{5}P_3 different ways.
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2x+3=-7<br><br> What is the answer?
Mashcka [7]

Hi there! With equations like this we want to get our variable on one side and and our constant on the other.

So with 2x + 3 = -7 you'd subtract the constant 3 from both sides of the equal sign to get 2x = -10, then you'd divide both sides by 2 to get x = -5. If you double check your work by replacing x in the original equation with our answer we'd find that 2(-5) + 3 = -7 is correct.

Hope you find this helpful :)

4 0
3 years ago
A 2012 Gallup poll surveyed Americans about their employment status and whether or not they have diabetes. The survey results in
posledela

A) See picture for the table.

To make the table, multiply 47774 by 1.5% to get total that have diabetes and multiply 5855 by 2.5% to get total unemployed that have it, then using subtraction fill in the other squares of the table.

B)

Hypothesis:

H0: No association between employment and diabetes.

H1: Association between the two

Using a graphing calculator or Excel, run a chi-test.

Chi squared equals 31.844 with 1 degrees of freedom.

 The two-tailed P value is less than 0.0001

With this information we can reject the null hypothesis and conclude there is an association between diabetes and employment.

C)

Although there is a statistical significance, there really is no practical significance between an incidence rate of 1.5 or 2.5%

3 0
3 years ago
A package weighs 80 ounces. What is the weight of the package in pounds?
Degger [83]

Answer:

5

Step-by-step explanation:

1 ounce = 0.0625

0.0625 x 80 = 5

3 0
2 years ago
Simply 11a+7+10a+3+12a+9 by combining like terms​
patriot [66]

Answer: 33a+19

Step-by-step explanation:

11a+7+10a+3+12a+9

Collect like terms.

(11a+10a+12a)+(7+3+9)

Simplify.

33a+19

6 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST! Find k so that (5, k) is equidistant from (–1, 2) and (3, 0).
pochemuha

Answer:

9

Step-by-step explanation:

So first I created 2 distance forumlas and set them equal to each other

\sqrt{(5+1)^2+(k-2)^2} =\sqrt{(5-3)^2+(k)^2}

then I simplified them

(5+1)^2+(k-2)^2 =(5-3)^2+(k)^2\\

36 + k^2 - 4k +4 = k^2 + 4

-4k + 36 = 0\\

4k = 36

k = 9

when k = 9, the two distances are equal

7 0
3 years ago
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