Mathematics

How many proper subsets in all are there of a set containing 3 elements?

Sets

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Answer

Number of elements (n) = 3.

Formula for number of proper subsets = 2n - 1

By replacing 'n' with 3, we get:

23 - 1 ⇒ 8 - 1 ⇒ 7

Hence, there are 7 proper subsets in all.

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