Answer :
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:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
(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?
[tex]P_{(11,5)} = \frac{11!}{(11-5)!} = 55440[/tex]
There are 55,440 different ways for the coach to do this.
