Question

A basketball team roster has 13 players on it. How many different teams of 5 players can be formed?

Answer 1

1287 different teams

Explanation:

We are required to choose different teams of five players that can be formed.

Number of players = 13

To answer the question we can use combination;

Formula;

`^nC_r=(n!)/(r!(n-r)!)`

But n = 13 and r = 5

Therefore;

`^1^3C_5=(13!)/(5!(13-5)!)`

`^1^3C_5=(13!)/(5!(8)!)`

`^1^3C_5=(13!)/(5!(13-5)!)\\^1^3C_5=1287`

Therefore, there are 1287 different teams of five players that can be formed.