Question

5. A presidential candidate plans to begin her campaign by visiting the capitals in 3 of 48 states. What is the probability that she selects the route of three specific​ capitals? Is it practical to list all of the different possible routes in order to select the one that is​ best?

​P(she selects the route of three specific ​capitals)=____

​(Type an integer or a simplified​ fraction.)

Is it practical to list all of the different possible routes in order to select the one that is​ best?

A. ​Yes, it is practical to list all of the different possible routes because the number of possible permutations is very small.

B. Yes, it is practical to list all of the different possible routes because the number of possible permutations is very large.

C. ​No, it is not practical to list all of the different possible routes because the number of possible permutations is very small.

D. ​No, it is not practical to list all of the different possible routes because the number of possible permutations is very large.

6. A classic counting problem is to determine the number of different ways that the letters of

"difference" can be arranged. Find that number.

The number of different ways that the letters of "difference" can be arranged is____

​(Simplify your​ answer.)

7.How many different ways can the letters of "statistics​" be​ arranged?

The number of different ways that the letters of "statistics" can be arranged is____

​(Simplify your​ answer.)

Answer 1