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From a group of 7 men and 6 women ,five person 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?
a) 564
b) 645
c) 735
d) 756
Read Solution (Total 4)
-
- (7c3*6c2)+(7c4*6c1)+(7c5*6c0)
=756. - 11 years agoHelpfull: Yes(24) No(0)
- (7c3*6c2)+(7c4*6c1)+(7c5*6c0)=756
- 11 years agoHelpfull: Yes(3) No(0)
- 7c3*6c2
35*15=525 this the ans. - 11 years agoHelpfull: Yes(0) No(8)
- We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).
Required number of ways = (7C3 x 6C2) + (7C4 x 6C1) + (7C5)
= 7 x 6 x 5 x 6 x 5 + (7C3 x 6C1) + (7C2)
3 x 2 x 1 2 x 1
= 525 + 7 x 6 x 5 x 6 + 7 x 6
3 x 2 x 1 2 x 1
= (525 + 210 + 21)
= 756. - 10 years agoHelpfull: Yes(0) No(0)
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