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Number of ways of selecting and arranging 4 out of 6 people in a circl

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Intern
Intern
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S
Joined: 23 Jul 2018
Posts: 18
Location: India
GMAT 1: 660 Q48 V32
GPA: 4
WE: Information Technology (Telecommunications)
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Number of ways of selecting and arranging 4 out of 6 people in a circl  [#permalink]

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New post 29 Dec 2018, 07:35
3
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

58% (01:13) correct 42% (01:17) wrong based on 27 sessions

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Number of ways of selecting and arranging 4 out of 6 people in a circle?

A. 45
B. 90
C. 95
D. 100
E. 120
Director
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Joined: 14 Dec 2017
Posts: 520
Location: India
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Re: Number of ways of selecting and arranging 4 out of 6 people in a circl  [#permalink]

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New post 29 Dec 2018, 08:16
1
Ben471 wrote:
Number of ways of selecting and arranging 4 out of 6 people in a circle?

A. 45
B. 90
C. 95
D. 100
E. 120



Select 4 out of 6 in 6C4 ways

Arrange the selected 4 in a circle in (4-1)! ways

Hence total # of ways of selecting and arranging 4 people in a circle = 6C4 * 3! = 15 * 6 = 90 ways

Answer B.


Thanks,
GyM
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Re: Number of ways of selecting and arranging 4 out of 6 people in a circl   [#permalink] 29 Dec 2018, 08:16
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Number of ways of selecting and arranging 4 out of 6 people in a circl

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