Three men (out of 7) and 3 women (out of 6) will be chosen to serve on

Question

Three men (out of 7) and 3 women (out of 6) will be chosen to serve on a committee. In how many ways can the committee be formed?

A. 100
B. 300
C. 350
D. 600
E. 700

Kinshook · Answer

Total ways to form committees = 7C3 * 6C3 = 35* 20 = 700

IMO E

Archit3110 · Answer

total ways ; 7c3 * 6c3 ; 700
IMO E

CareerGeek · Answer

Total ways = to choose 3 out of 7 men & 3 out of 6 women
= 7c3*6c3
= (7*6*5/3!)*(6*5*4/3!)
= (7*6*5/6)*(6*5*4/6)
= 35*20
= 700

IMO Option E

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ScottTargetTestPrep · Answer

3 men can be selected in 7C3 = (7 x 6 x 5)/3! = 35 ways.

3 women can be selected in 6C3 = (6 x 5 x 4)/3! = 20 ways.

Thus, the committee can be selected in 35 x 20 = 700 ways.

Answer: E

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