Question

In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?

Answer 1

HOPE IT HELPS AND PLS MARK ME AS A BRAINLIST

Answer 2

Answer:

14 ways

Step-by-step explanation:

To find the number of ways in which 3 boys and 3 girls are be selected from 5 boys and 4 girls

1) Number of ways to select 3 girls from 4 girls:⁴C₃

$=\frac{4!}{3!(4-3)!} \\\\=\frac{4!}{3!1!}=\frac{4\times3\times2\times1}{3\times2\times1}\\\\=4$

2) Number of ways to select 3 boys from 5 boys:⁵C₃

$=\frac{5!}{3!(5-3)!} \\\\=\frac{5!}{3!2!}=\frac{5\times4\times3\times2\times1}{3\times2\times1\times2}\\\\=10$

thus there are 14 different ways.