Problem 39E

A national pollster has developed 15 questions designed to rate the performance of the president of the United States. The pollster will select 10 of these questions. How many different arrangements are there for the order of the 10 selected questions?

Answer:

Step 1 of 1:

(a)

We are asked to find the different arrangements are there for the order of the 10 selected questions.

A national pollster has developed 15 questions designed to rate the performance of the president of the United States.

Permutation: Any arrangement of objects selected from a single group of possible objects.

Where:

is the total number of objects.

is the number of objects selected.

We have given

Hence the different arrangements are there for the order of the 10 selected questions is