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A restaurant is hanging 7 large tiles on its wall in a single row

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Joined: 02 Jan 2017
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A restaurant is hanging 7 large tiles on its wall in a single row [#permalink]

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New post 17 Feb 2017, 16:37
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Question Stats:

85% (00:54) correct 15% (01:36) wrong based on 41 sessions

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A restaurant is hanging 7 large tiles on its wall in a single row. How many arrangements of tiles are possible if there are 3 white tiles and 4 blue tiles?

A. 35
B. 12
C. 21
D. 84
E. 28
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Joined: 02 Aug 2009
Posts: 5938
Re: A restaurant is hanging 7 large tiles on its wall in a single row [#permalink]

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New post 17 Feb 2017, 19:40
vikasp99 wrote:
A restaurant is hanging 7 large tiles on its wall in a single row. How many arrangements of tiles are possible if there are 3 white tiles and 4 blue tiles?

A. 35
B. 12
C. 21
D. 84
E. 28



Hi..

Total ways these 7 tiles can be arranged =7!
However these contain duplicity as 3 tiles are of one colour and other 4 are of other colour..
So eliminating these = \(\frac{7!}{3!4!}\)=35

A
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Re: A restaurant is hanging 7 large tiles on its wall in a single row   [#permalink] 17 Feb 2017, 19:40
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A restaurant is hanging 7 large tiles on its wall in a single row

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