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In how many ways can 4 different portraits be mounted on 4 of the four

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SVP
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Joined: 08 Jul 2010
Posts: 2066
Location: India
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In how many ways can 4 different portraits be mounted on 4 of the four [#permalink]

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New post 17 Feb 2017, 01:58
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

74% (00:22) correct 26% (00:19) wrong based on 102 sessions

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In how many ways can 4 different portraits be mounted on 4 of the four walls inside a room???(One portrait on each wall)

A) 4
B) 6
C) 12
D) 16
E) 24

Source: http://www.GMATinsight.com
[Reveal] Spoiler: OA

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Re: In how many ways can 4 different portraits be mounted on 4 of the four [#permalink]

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New post 17 Feb 2017, 02:16
One picture is fixed, so we need to pick 3 other pictures out of 3 remaining ones and arrange it in 4! ways:
3C3 * 4! = 1*4*3*2*1=24 different ways, so the Answer is E.
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Re: In how many ways can 4 different portraits be mounted on 4 of the four [#permalink]

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New post 08 Dec 2017, 06:38
When its 'n' objects to be arranged in 'n' no if ways its n! ways
that is here , 4 objects and 4 walls , so 4! ways = 4x3x2x1= 24
Re: In how many ways can 4 different portraits be mounted on 4 of the four   [#permalink] 08 Dec 2017, 06:38
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In how many ways can 4 different portraits be mounted on 4 of the four

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