Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony?
(A) 20%
(B) 30%
(C) 40%
(D) 50%
(E) 60%
OA C
Source: Manhattan Prep
-
Memorial Day Savings!TTP's 5-star course
15% off!
Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2
This topic has expert replies
-
BTGmoderatorDC
- Moderator
- Posts: 7183
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
GMAT/MBA Expert
-
[email protected]
- GMAT Instructor
- Posts: 16200
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
We can think of this as a probability question: What is the probability that Anthony and Michael are on the same subcommittee?BTGmoderatorDC wrote: ↑Thu Jun 02, 2022 10:50 pmAnthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony?
(A) 20%
(B) 30%
(C) 40%
(D) 50%
(E) 60%
OA C
Source: Manhattan Prep
Now, assume that we're creating subcommittees.
We want to place 6 people in the following spaces:
_ _ _ | _ _ _
First, we place Michael in one subcommittee; it makes no difference which one:
M _ _ | _ _ _
When we go to place Anthony, we see that there are 5 spaces remaining.
2 spaces are on the same subcommittee as Michael.
So the probability that they are on the same subcommittee is 2/5 = 40%
Answer: C
Brent Hanneson - Creator of GMATPrepNow.com
