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Let S =0,1,5,...

Question

Let $S = {0, 1, 5, 4, 7} .$ Then, the total number of subsets of S is ___.

A

64

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B

32

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C

40

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D

20

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Solution

The correct option is B 32
A set of $n$ elements has $2^{n}$ subsets.
$S = {0, 1, 5, 4, 7}$ has 5 elements.
Thus, the total number of subsets of S is $2^{5} = 32.$

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