How many subsets are there in a set with $3$ elements?
A) $4$
B) $9$
C) $6$
D) $8$
E) $27$

Name: How many subsets are there in a set with $3$ elements? A) $4$ B) $9$ C) $6$ D) $8$ E) $27$
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Question

Quizplus · Accepted Answer

A set with 3 elements has $2^3=8$ possible subsets. To see why, note that we have two choices for each element: either include it in a subset or exclude it. Thus there are $2\cdot 2\cdot 2=8$ possible combinations.

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