A group consists of fourfour men and eighteight women. threethree people are selected to attend a conference.

a. in how many ways can three three people be selected from this group of twelve twelve

Take the combination of 1 man and 2 women

=4 * 8C2 = 4*28 = 112 ways

The case of all men

= 4C3 = 4

The case of all women

= 8C3 = 56

The case of 2 men and 1 woman:-

= 8 * 4C2 = 8 * 6 = 48

Total number of ways = 112 + 4 + 56 + 48 = 220 answer