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Committee X has 4 members, committee Y has 5 members

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Intern
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Joined: 03 Feb 2017
Posts: 4
Committee X has 4 members, committee Y has 5 members  [#permalink]

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New post 02 Sep 2018, 11:16
1
4
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (00:59) correct 12% (01:44) wrong based on 34 sessions

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Committee X has 4 members, committee Y has 5 members, and these committees have no members in common. If a task force is to be formed consisting of one member of X and one member of Y, how many different task forces are possible?

A) 6
B) 9
C) 10
D) 20
E) 36
GMATH Teacher
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Status: GMATH founder
Joined: 12 Oct 2010
Posts: 544
Re: Committee X has 4 members, committee Y has 5 members  [#permalink]

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New post 02 Sep 2018, 12:21
janchang wrote:
Committee X has 4 members, committee Y has 5 members, and these committees have no members in common. If a task force is to be formed consisting of one member of X and one member of Y, how many different task forces are possible?

A) 6
B) 9
C) 10
D) 20
E) 36


Immediate application of the Multiplicative Principle:

If you may choose the member of X among 4 possibilities, and each possibility allows you to choose the member of Y among 5 possibilities, there are 4*5 = 20 possibilities for the task force!

Regards,
fskilnik.
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Fabio Skilnik :: https://GMATH.net (Math for the GMAT) or GMATH.com.br (Portuguese version)
Course release PROMO : finish our test drive till 30/Dec with (at least) 50 correct answers out of 92 (12-questions Mock included) to gain a 50% discount!

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Joined: 04 Jan 2015
Posts: 2306
Re: Committee X has 4 members, committee Y has 5 members  [#permalink]

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New post 02 Sep 2018, 12:47

Solution



Given:
    • Committee X has 4 members
    • Committee Y has 5 members
    • A task force is formed consisting of one member of X and one member of Y

To find:
    • The number of task force possible.

Approach and Working:

    • The number of task force possible= Number of ways to select 1 member from committee X * Number of ways to select 1 member from committee Y
      o Hence, total task force possible= 4*5= 20

Hence, the correct answer is option D.

Answer: D
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Re: Committee X has 4 members, committee Y has 5 members &nbs [#permalink] 02 Sep 2018, 12:47
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