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by richachampion » Sat Nov 12, 2016 12:14 am
How many different subsets of the set {0, 1, 2, 3, 4, 5} do not contain 0?

A. 16
B. 27
C. 31
D. 32
E. 64
Last edited by richachampion on Sat Nov 12, 2016 12:37 am, edited 5 times in total.
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by richachampion » Sat Nov 12, 2016 12:15 am
OA: D
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by GMATGuruNY » Sat Nov 12, 2016 4:26 am
How many different subsets of the set {0, 1, 2, 3, 4, 5} do not contain 0?

16
27
31
32
64
Any of the following values may be included in a subset:
1, 2, 3, 4, 5
For each of these values, there are 2 options: TO INCLUDE the value or NOT TO INCLUDE the value.
Since there are 5 values, and 2 options for each value, the total number of possible subsets = 2*2*2*2*2 = 32.

The correct answer is D.

The 32 options above include the EMPTY SET: the case in which NONE of the 5 values is selected.
The EMPTY SET is considered a subset of EVERY SET.
This concept is beyond the scope of the GMAT, so please feel free to ignore this problem.
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