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 Choose the correct answer:  A) 456  B) 556  C) 656  D) 756  E) None of these
Explanation:   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= 
<gadget id="calculator">21+210+525</gadget>
<output>756</output>
756   Option 756
<result>D</result>
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