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Find the Computing Permutation.
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?
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 : - President
- Vice President
- Secretary
- Treasurer
It is required that 2 women and 2 men must be selected How many ways the executive body can be formed?
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 ways.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?
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?
Explanation: There are 7 letters in the word jubilee, so initially we can calculate that there are ways to re-arrange those letters. However, The letter e appears twice, so we're double counting. Divide by 2 factorial (2) to get .
How many ways can you re-arrange the letters of the word BANANA?
Explanation: At first, it makes sense that there are ways to re-arrange these letters. However, the letter A appears 3 times and the letter N appears twice, so divide first by 3 factorial and then 2 factorial:
In a class of 24 students, how many distinct groups of 4 can be formed?
Explanation: To solve, evaluate
13 rubber ducks are competing in a race. How many different arrangements of first, second, and third place are possible?
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?
Explanation: There are 7 potential actors and 2 different roles to fill. This would be calculated as divided by , or 42
How many different 4 letter words can be made out of the letters A, B, C, D, and E?
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.
Desmond
University of South Carolina-Upstate, Bachelor of Science, Mathematics and Computer Science.
Mallorie
San Jose State University, Master of Arts, Education.
Joshua
Williams College, Bachelor in Arts, Chemistry.
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