There are 13 members in a committee having 7 men and 6 women . In how many ways a team of 4 persons can be selected in such a way that at least 1 man would be there in the team ?
1 man + 3 women == 140
2 men + 2 women === 315
3 men + 1 women === 210
4 men + 0 women === 35
total ========= 700
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
There are 31 students in a class, number of girls is one more then number of guys. We need to form a team of four students. All four in the team cannot be from same gender and number of girls and guys in the team should not be equal. How many ways can such a team be made?
Five player for a cricket team is to be selected from 4 Batsman, 3 Bowlers and 2 All Rounders. In how many ways can the committee be formed if the committee should consists of 2 Batsman, 2 Bowler and 1 All Rounder?