From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
সমাধান
সঠিক উত্তর: Option D
From a group of 7 men and 6 women, five persons are to be selected with at least 3 men. So we can have (5 men) or (4 men and 1 woman) or (3 men and 2 woman)
(5C5)+(5C4∗6C1)++(5C3∗6C2)
=[(7*6)/(2*1)]+[(7*6*5)/(3*2*1)*6]+[(7*6*5)/(3*2*1)*(6*5)/(2*1)]
=21+210+525
=756
