Question

How many ways are there to pick a starting five from a basketball team of twelve members

Answer 1

an easy way to figure it out is to multiply 5 by 12=60. i believe that is what you're supposed to do but correct me if i'm wrong.

Answer 2

Answer:

95040

Step-by-step explanation:

Given : There are 12 members in basketball team.

To Find: How many ways are there to pick a starting five from a basketball team of twelve members

Solution:

Since we are asked to find no. of ways are there to pick a starting five from a basketball team of twelve members

So, we will use permutation over here.

Formula: $^nP_r=\frac{n!}{(n-r)!}$

n = 12

r = 5

Substitute the value sin the formula .

$^{12}P_5=\frac{12!}{(12-5)!}$

$^{12}P_5=\frac{12!}{(7)!}$

$^{12}P_5=\frac{12 \times 11\times 10 \times 9\times 8 \times 7!}{7!}$

$^{12}P_5=12 \times 11\times 10 \times 9\times 8$

$^{12}P_5=95040$

Hence there are 95040 ways to pick a starting five from a basketball team of twelve members.