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