In how many ways can a committee of 2 women and 3 men be ...
In how many ways can a committee of 2 women and 3 men be chosen from 6 men and 5 women?
100
200
30
50
Correct answer is B
A committee of 2 women and 3 men can be chosen from 6 men and 5 women, in 5C2 x 6C3 ways
= 5!(5−2)!2!×6!(6−3)!3!
= 5!3!2!×6!3×3!
= 5×4×3!3!×2!×6×5×4×3!3!×3!
= 5×41×2×6×5×41×2×3
= 10 x 6×206
= 200
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