16. A soccer team has 11 players on the field at the end of a scoreless game. According to league

coach must select 5 of the players and designate an order in which they will take penalty

game. According to league rules, the

(a) Is this a permutation or a combination? Why?

(b) How many different ways are there for the coach to do this?

a) Permutation, because the coach has to designate an order in which they will take penalty

b) There are 55,440 different ways for the coach to do this.

Step-by-step explanation:

It the order is not important, we have a combination.

If the order is important, we have a permutation.

In this question:

5 players from a set of 11 and designate an order.

This means that the order is important, and we have a permutation.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

(a) Is this a permutation or a combination? Why?

Permutation, because the coach has to designate an order in which they will take penalty

(b) How many different ways are there for the coach to do this?

There are 55,440 different ways for the coach to do this.

3+x

step-by-step explanation: