.Two people are selected from 5 men and 6 women

Question

How many ways can the selection be made so that the two people are of the same sex?

Answer 1

There are 5 men and 6 women.

Two peoples are selected.

Number of ways that two peoples selected are men is .

Number of ways that two peoples selected are women is .

Number of ways that two peoples selected are of same kind is

+

= 10+15

= 25

Therefore there are 25 ways of selecting two peoples selected are of same kind from 5 men and 6 women.