GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Jun 2019, 00:04

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Paula and Quentin are two members of an eight-member committee.

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 18 Jun 2018
Posts: 267
Paula and Quentin are two members of an eight-member committee.  [#permalink]

### Show Tags

10 Sep 2018, 04:09
00:00

Difficulty:

15% (low)

Question Stats:

77% (01:04) correct 23% (01:19) wrong based on 31 sessions

### HideShow timer Statistics

Paula and Quentin are two members of an eight-member committee. If the committee selects its president and secretary at random, and the same member cannot hold both positions, what is the probability that Paula is selected as president and Quentin is selected as secretary?

A) $$\frac{1}{64}$$

B) $$\frac{1}{56}$$

C) $$\frac{1}{49}$$

D) $$\frac{1}{36}$$

E) $$\frac{1}{24}$$
Intern
Joined: 02 Sep 2015
Posts: 42
Re: Paula and Quentin are two members of an eight-member committee.  [#permalink]

### Show Tags

10 Sep 2018, 04:26
Selecting paula out of 8 member committee: $$1C1/8C1$$ = $$1/8$$
Selecting Quentin out of 7 member committee: $$1C1/7C1$$ = $$1/7$$ since paula is already selected for presidency only 7 ppl are left for secretary
Selecting both: $$1/8 * 1/7$$ = $$1/56$$
CEO
Joined: 12 Sep 2015
Posts: 3782
Re: Paula and Quentin are two members of an eight-member committee.  [#permalink]

### Show Tags

10 Sep 2018, 05:41
Top Contributor
Bismarck wrote:
Paula and Quentin are two members of an eight-member committee. If the committee selects its president and secretary at random, and the same member cannot hold both positions, what is the probability that Paula is selected as president and Quentin is selected as secretary?

A) $$\frac{1}{64}$$

B) $$\frac{1}{56}$$

C) $$\frac{1}{49}$$

D) $$\frac{1}{36}$$

E) $$\frac{1}{24}$$

P(Paula becomes president and Quentin becomes secretary) = P(Paula becomes president) x P(Quentin becomes secretary)
= 1/8 x 1/7
= 1/56

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Re: Paula and Quentin are two members of an eight-member committee.   [#permalink] 10 Sep 2018, 05:41
Display posts from previous: Sort by