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

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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, 15:37
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Difficulty:

  15% (low)

Question Stats:

78% (01:07) correct 22% (01:41) wrong based on 68 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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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, 18:40
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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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


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Re: A restaurant is hanging 7 large tiles on its wall in a single row  [#permalink]

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New post 20 Jan 2019, 07:21
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



Hello Bunuel,

Isn't this question confusing. 3 White tiles could be different white tiles and/or 4 blue tiles could be different blue tiles ? How we can make sure that all white/blue tiles are similar ?

Thanks,
Amm
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Re: A restaurant is hanging 7 large tiles on its wall in a single row  [#permalink]

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New post 20 Jan 2019, 16:59
ammuseeru
I understand your attention to detail (based on some convoluted and tricky gmat questions), but it I have not found it necessary for combination questions. Most people (including and especially me) find this section confusing. The questions ask straight forward questions and simply require application of rules. This question tests 'permutation with repeated elements'.

\(P(n; n_1, n_2, . . . , n_k) = \frac{n!}{n_1! n_2! . . . n_k!}\)
GMAT Club Bot
Re: A restaurant is hanging 7 large tiles on its wall in a single row   [#permalink] 20 Jan 2019, 16:59
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A restaurant is hanging 7 large tiles on its wall in a single row

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