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# Mark can take three friends with him on a vacation and is

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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4647
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 85

Kudos [?]: 1549 [0], given: 365

Mark can take three friends with him on a vacation and is [#permalink]  30 Dec 2017, 14:09
Expert's post
00:00

Question Stats:

66% (01:17) correct 33% (01:47) wrong based on 3 sessions
Mark can take three friends with him on a vacation and is listing the possible combinations of friends. If he has five friends to choose from and is numbering each possible combination sequentially beginning with 1, which of the following numbers will appear on his list of combinations?

Indicate all possible values.

A. 2
B. 10
C. 15
D. 24
E. 60
F. 120

Drill 2
Question: 9
Page: 564

[Reveal] Spoiler: OA
A, B

_________________

Sandy
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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4647
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 85

Kudos [?]: 1549 [2] , given: 365

Re: Mark can take three friends with him on a vacation and is [#permalink]  12 Jan 2018, 15:27
2
KUDOS
Expert's post
Explanation

The order of friends doesn’t matter.

There are five friends to choose from for three spots, so the top of your fraction should read: 5*4*3, and to correct for the order of friends not mattering, the bottom of your fraction should be: 321.

$$\frac{5 \times 4 \times 3}{3 \times 2 \times 1}= 10$$.

Since he is numbering possibilities sequentially, the numbers 1 through 10 will be on the list, making choices (A) and (B) correct.
_________________

Sandy
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Re: Mark can take three friends with him on a vacation and is   [#permalink] 12 Jan 2018, 15:27
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