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There were 6 members in Mr. George's family: his wife, 2 daughters, on

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Manager
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Joined: 25 Dec 2018
Posts: 150
Location: India
Concentration: General Management, Finance
GMAT 1: 590 Q48 V23
GPA: 3.4
WE: Engineering (Consulting)
There were 6 members in Mr. George's family: his wife, 2 daughters, on  [#permalink]

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New post 05 Mar 2019, 02:37
2
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

45% (02:10) correct 55% (02:27) wrong based on 20 sessions

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There were 6 members in Mr. George's family: his wife, 2 daughters, one son and mother and himself. They had 6 cars out of which 2 were identical cars of brand A, one car of brand B, third was of brand C, one was of brand D& the sixth car was brand of E. If all family members want to use separate cars, in how many ways can they choose if Mr. George's son refuged to take the car of brand A?

A. 180
B. 200
C. 240
D. 360
E. 480
Intern
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Posts: 2
Re: There were 6 members in Mr. George's family: his wife, 2 daughters, on  [#permalink]

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New post 05 Mar 2019, 03:49
2
his son can select the remaining four cars in 4 ways
and out of the remaining five cars 2 are identical and it can be done in 5!/2! ways.
So total number of ways in which he can select is 4*5!/2! = 4*120/2 =4*60 = 240
Intern
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Re: There were 6 members in Mr. George's family: his wife, 2 daughters, on  [#permalink]

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New post 05 Mar 2019, 03:49
his son can select the remaining four cars in 4 ways
and out of the remaining five cars 2 are identical and it can be done in 5!/2! ways.
So total number of ways in which he can select is 4*5!/2! = 4*120/2 =4*60 = 240
GMAT Club Bot
Re: There were 6 members in Mr. George's family: his wife, 2 daughters, on   [#permalink] 05 Mar 2019, 03:49
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There were 6 members in Mr. George's family: his wife, 2 daughters, on

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