Question

16.

Answer 1

Answer:

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:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

(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?

$P_{(11,5)} = \frac{11!}{(11-5)!} = 55440$

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

Answer 2

Answer:

B

Step-by-step explanation: