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Set S contains 7 different letters

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soumya1989
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Set S contains 7 different letters [#permalink] New post   05 May 2016, 23:58
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Set S contains 7 different letters. How many subsets of set S, including an empty set, contain at most 3 letters?
A. 29
B. 56
C. 57
D. 63
E. 64

Note: this is a GMAT question
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E
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technorijan
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Re: Set S contains 7 different letters [#permalink] New post   14 May 2016, 03:41
Ans 64


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technorijan
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Re: Set S contains 7 different letters [#permalink] New post   14 May 2016, 03:44
Explanation
At most three 3 including empty subset means
No of empty subset+no of ways of choosing set containing(one letter in set+two letter in a set+3 letter in a set)
=1+7C1+7C2+7C3

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Re: Set S contains 7 different letters [#permalink] New post   15 Oct 2021, 04:09
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Re: Set S contains 7 different letters [#permalink]
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