In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?
Given that we need to select a team consisting of 3 boys and 3 girls out of 5 boys and 4 girls.
Let us assume the no. of ways of selection be N.
⇒ N = (Selecting 3 boys out of 5 boys) × (selecting 3 girls out of 4 girls)
⇒ N = (5C3) × (4C3)
We know that ,
And also n! = (n)(n – 1)......2.1
⇒
⇒
⇒
⇒ N = (10) × (4)
⇒ N = 40
∴ The no. of ways of selecting 3 boys and 3 girls is 40.