Mathematics

How many proper subsets in all are there of a set with cardinal number 5?

Sets

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Answer

Cardinal number (n) = 5.

Formula for number of proper subsets = 2n - 1

By replacing 'n' with 5, we get:

25 - 1 ⇒ 32 - 1 ⇒ 31

Hence, there are 31 proper subsets in all.

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