Question

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

Answer 1

Answer:

1287 different teams

Step-by-step 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;

$^nC_r=\frac{n!}{r!(n-r)!}$

But n = 13 and r = 5

Therefore;

$^1^3C_5=\frac{13!}{5!(13-5)!}$

$^1^3C_5=\frac{13!}{5!(8)!}$

$^1^3C_5=\frac{13!}{5!(13-5)!}\\^1^3C_5=1287$

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