[GMAT math practice question]
How many committees can be formed comprising 2 male members selected from 4 men, 3 female members selected from 5 women, and 3 junior members selected from 6 juniors?
A. 900
B. 1200
C. 1500
D. 1800
E. 2400
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How many committees can be formed comprising 2 male members
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Max@Math Revolution
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Max@Math Revolution
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There are 4C2 ways to select 2 men from 4 men, 5C3 ways to select 3 women from 5 women and 6C3 ways to select 3 juniors from 6 juniors. Therefore, the total number of possible committees is
4C2*5C3*6C3 = {(4*3)/(2*1)}{(5*4*3)/(3*2*1)}{(6*5*4)/(3*2*1)} = 6*10*20 = 1200.
Therefore, B is the answer.
Answer: B
There are 4C2 ways to select 2 men from 4 men, 5C3 ways to select 3 women from 5 women and 6C3 ways to select 3 juniors from 6 juniors. Therefore, the total number of possible committees is
4C2*5C3*6C3 = {(4*3)/(2*1)}{(5*4*3)/(3*2*1)}{(6*5*4)/(3*2*1)} = 6*10*20 = 1200.
Therefore, B is the answer.
Answer: B
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Scott@TargetTestPrep
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The number of committees that can be formed is:Max@Math Revolution wrote:[GMAT math practice question]
How many committees can be formed comprising 2 male members selected from 4 men, 3 female members selected from 5 women, and 3 junior members selected from 6 juniors?
A. 900
B. 1200
C. 1500
D. 1800
E. 2400
4C2 x 5C3 x 6C3 = (4 x 3)/2 x (5 x 4 x 3)/(3 x 2) x (6 x 5 x 4)/(3 x 2) = 6 x 10 x 20 = 1200
Answer: B
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GMAT/MBA Expert
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Scott@TargetTestPrep
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The number of ways to select the male members is 4C2:Max@Math Revolution wrote:[GMAT math practice question]
How many committees can be formed comprising 2 male members selected from 4 men, 3 female members selected from 5 women, and 3 junior members selected from 6 juniors?
A. 900
B. 1200
C. 1500
D. 1800
E. 2400
(4 x 3)/2! = 6 ways
The number of ways to select the female members is 5C3:
(5 x 4 x 3)/3! = 10 ways
The number of ways to select the 3 juniors is 6C3:
(6 x 5 x 4)/3! = 20 ways
So the total number of ways to select the committee is 6 x 10 x 20 = 1200 ways.
Answer: B
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
