Download Aptitude Crack
img not found img not found

Permutation and Combination

Q1: 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?

A 564

B 645

C 735

D 756

E None of these

ANS:D - 756

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.



img not found
img

For help Students Orientation
Mcqs Questions

One stop destination for examination, preparation, recruitment, and more. Specially designed online test to solve all your preparation worries. Go wherever you want to and practice whenever you want, using the online test platform.