Permutation and Combination 1. How many ways can the letters A B C be arranged, using...

Permutation and Combination

1. How many ways can the letters A B C be arranged, using each letter only once?

2. A code has 4 digits in a specific order, the digits are between 0-9. How many different permutations are there if one digit may only be used once?

3. In how many ways can three students be selected for a project from a group of fifteen students?

4. Richmond Machine Shop has eight machines but only three spaces available in the warehouse. In how many ways can the eight machines be arranged in the three spaces available?

5. Royal cineplex wants to create a team of three employees to work at the popcorn stand. There are seven employees to work each evening. How many different teams can the manager schedule?

6. How many possible ways can you form a committee consisting of John, Mary, and Alice?

7. How many possible ways can you form a committee consisting of John, Mary, and Alice, so that first person is a president, second is a vice president, and third is a treasurer?

8. A company is planning to recruit 3 interns from 25 applicants.

a. What is the probability of selecting an intern?

b. How many ways can the three interns be appointed?

c. How many ways can the three interns be appointed, so that they can be appointed in three different locations?

Expert Solution

orchestra answered 2 years ago

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