In how many ways can a group of 5 boy and 2 girl be made out of a total of 7 boy and 3 girl ?

Question

There are 5 mangoes and 6 bananas. In how many different ways can a selection of fruits be made if all fruits of same kind are numbered with different tags.

Answer 1

We need to select
5 boys from 7 boys
And
2 girls from 3 girls
Number of ways
=7C5x3C2
=[(7*6)/(2*1)*3]
=21*3=63
Ans is 63