Here are all of the parts to the question: There are 15 players on a boys soccer

ID: 3244964 • Letter: H

Question

Here are all of the parts to the question:

There are 15 players on a boys soccer team. Answer the following questions using this scenario.

a. In how many ways can the coach line all of the players on the field for the opening ceremony?

b. In how many ways can the coach position 11 of the players to play in the first game?

c. What is the probability of correctly picking the 11 players positions?

d. In how many ways can the coach group 11 of the players to play in the first game?

e. What is the probability of correctly picking the group of 11 players?

Ans:

a)Permutations

Number of ways coach line up all of the 15 players=15!

=15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

=1307674368000

b)Number of ways coach line up 11 out of 15 players=15P11 =15!/(15-11)!= 54486432000

c)Probability of correctly picking 11 players position=

d)Combinations

Number of ways coach group 11 players out of 15=15 C11 =15!/11!(15-11)!=1365

e)Probability of correctly picking up 11 of the players position

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