Question

"A team of nine players is to be chosen from 15 available players. In how many ways can this be done?"

A) 15 ways

B) 84 ways

C) 1,365 ways

D) 7,718,592 ways

Answer 1

To find the number of ways a team of nine players can be chosen from 15 available players, we use the concept of combinations. The answer is 84 ways.

Step-by-step explanation:

To find the number of ways a team of nine players can be chosen from 15 available players, we use the concept of combinations.

The formula for combinations is nCr = n! / (r! * (n-r)!), where n is the total number of players and r is the number of players being chosen. In this case, n = 15 and r = 9.

Plugging in these values, we have 15C9 = 15! / (9! * (15-9)!).

Simplifying this expression, we get 84 as the number of ways the team can be chosen.

Therefore, the answer is B) 84 ways.