Study Groups Study with other students and unlock Numerade solutions for free. Try NowWhen the outcome of one event does affect the outcome of another event, then the events are dependent events. When the outcome of one event does not affect the outcome of another event, then the events are independent events. Here when one person is chosen as president, then the number of persons for vice president is reduced by that one person i.e. the choice of vice president is dependent on the choice of president. And so on. Hence, the events are dependent events.
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.
Stephen
University of Hull, Bachelor of Science, Physical Chemistry.
Joshua
The Ohio State University, Bachelor of Science, Mathematics.
Tom
University of Wisconsin-Madison, Bachelor of Science, Atmospheric Sciences and Meteorology. Embry-Riddle Aeronautical Univers...
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