How many different ways can the office of President Vice President Secretary and Treasurer be chosen from an organization of 67 members?

Find the Computing Permutation.

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Correct answer:

Explanation:

An ice cream vendor sells five different flavors of ice cream. 

In how many ways can you choose three scoops of different ice cream flavors if order matters?

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Correct answer:

Explanation:

There are five ways to choose the first scoop, then four ways to choose the second scoop, and finally three ways to choose the third scoop:

5 * 4 * 3 = 60

There are 5 men and 4 women competing for an executive body consisting of :

1. President
2. Vice President
3. Secretary
4. Treasurer

It is required that 2 women and 2 men must be selected

How many ways the executive body can be formed?

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Correct answer:

Explanation:

2 men can be selected:

2 women can be selected out of 4 women:

Finally, after the selection process, these men and women can fill the executive body in

This gives us a total of

How many ways can a three committee board select the president, vice president and treasurer from a group of 15 people?

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Correct answer:

Explanation:

In this problem, order is important because once someone is chosen as a position they can not be chosen again, and once a position is filled, no one else can fill that in mind.

The presidential spot has a possibility of 15 choices, then 14 choices for vice president and 13 for the treasurer.

So:

How many ways can you re-arrange the letters of the word JUBILEE?

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Explanation:

There are 7 letters in the word jubilee, so initially we can calculate that there are

How many ways can you re-arrange the letters of the word BANANA?

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Explanation:

At first, it makes sense that there are

In a class of 24 students, how many distinct groups of 4 can be formed?

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Explanation:

To solve, evaluate

13 rubber ducks are competing in a race. How many different arrangements of first, second, and third place are possible?

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Explanation:

There are 3 winners out of the total set of 13. That means we're calculating

7 students try out for the roles of Starsky and Hutch in a new school production. How many different ways can these roles be cast?

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Correct answer:

Explanation:

There are 7 potential actors and 2 different roles to fill. This would be calculated as 

How many different 4 letter words can be made out of the letters A, B, C, D, and E?

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Correct answer:

Explanation:

Since order matters, use the permutation formula:

There are 5 letters to choose from (n), and you pick 4 of them (r).

So there are 120 possible words that can be formed.

Freeman Ulrich
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