Solve 700-Level Algebra Qs In 90 Secs!
Master 700-level Inequalities and Absolute Value Questions

Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease.

FREE GMAT ALGEBRA WEBINAR
Live: 4th June 2023, 7am-9am PST
Presented by e-GMAT

## 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
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 members

### Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2

by BTGmoderatorDC » Thu Jun 02, 2022 10:50 pm

00:00

A

B

C

D

E

## Global Stats

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

### GMAT/MBA Expert

GMAT Instructor
Posts: 16201
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

### Re: Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2

by [email protected] » Sun Jun 05, 2022 4:50 pm
BTGmoderatorDC wrote:
Thu Jun 02, 2022 10:50 pm
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
We can think of this as a probability question: What is the probability that Anthony and Michael are on the same subcommittee?

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

• Page 1 of 1