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29 Jul 2019, 05:04
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
87% (01:11) correct
13%
(01:20)
wrong
based on 208
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A committee is to be created from some employees at Bongo Industrials. The committee must include exactly 3 senior executives and 4 junior executives. If 5 senior executives and 6 junior executives are available for the committee, how many different committees are possible?
A. 10
B. 15
C. 25
D. 60
E. 150
A. 10
B. 15
C. 25
D. 60
E. 150
Hanzel101
Joined: 15 Jul 2016
Last visit: 23 Feb 2020
Posts: 72
Given Kudos: 190
Location: India
Schools: Oxford "21 (A) Cambridge "21 (A$)
GMAT 1: 690 Q48 V36
29 Jul 2019, 05:09
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A committee must include 3 Seniors out of 5 Seniors and 4 Junior executives out of 6 Junior executives.
Hence, 5C3*6C4 = 150. Ans : E.
Hence, 5C3*6C4 = 150. Ans : E.
29 Sep 2021, 06:32
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Bunuel
Take the task of creating the committee and break it into stages.
Stage 1: Select 3 senior executives to be on the committee
Since the order in which we select the 3 senior executives does not matter, we can use combinations.
We can select 3 senior executives from 5 senior executives in 5C3 ways (10 ways)
So, we can complete stage 1 in 10 ways
Stage 2: Select 4 junior executives to be on the committee
Since the order in which we select the 4 junior executives does not matter, we can use combinations.
We can select 4 junior executives from 6 junior executives in 6C4 ways (15 ways)
So, we can complete stage 2 in 15 ways
By the Fundamental Counting Principle (FCP), we can complete the 2 stages (and thus create the committee) in (10)(15) ways (= 150 ways)
Answer: E
Note: the FCP can be used to solve the MAJORITY of counting questions on the GMAT. So, be sure to learn it.
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