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A child has 6 magnetic letters: C, H, I, I, P, and P. How ma
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21 Nov 2018, 00:14
21 Nov 2018, 00:14
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A child has 6 magnetic letters: C, H, I, I, P, and P. How many different "words" can the child spell using all these letters?
A. 720
B. 360
C. 180
D. 90
E. 45
A. 720
B. 360
C. 180
D. 90
E. 45
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Joined: 07 Aug 2016
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GRE 1: Q166 V156
Re: A child has 6 magnetic letters: C, H, I, I, P, and P. How ma
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23 Nov 2018, 13:46
23 Nov 2018, 13:46
Carcass wrote:
A child has 6 magnetic letters: C, H, I, I, P, and P. How many different "words" can the child spell using all these letters?
A. 720
B. 360
C. 180
D. 90
E. 45
A. 720
B. 360
C. 180
D. 90
E. 45
Because we have two identical letters I and P it means we have to reduce that option.
If they were 6 different letters it would be 6! = 720
But given that we have 2 P and 2 I
We have to divide by 2! * 2!
6!/(2! * 2!) = 720/(2*2) = 360/2 = 180
Answer choice C
gmatclubot
Re: A child has 6 magnetic letters: C, H, I, I, P, and P. How ma [#permalink]
23 Nov 2018, 13:46
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