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How many subsets has the Set P = 1, 2, 3, 4, 5?

October 13, 2026Mathematics

ScanSolve AI Answer

Answer

32

3 steps

Identify the given set and its number of elements.
The given set is $P = \{1, 2, 3, 4, 5\}$ .
The number of elements in set $P$ , denoted as $n(P)$ , is 5.
Apply the formula for the number of subsets.
The number of subsets of a set with $n$ elements is given by the formula $2^n$ .
In this case, $n = 5$ .
Calculate the number of subsets.
$\text{Number of subsets} = 2^{n(P)} = 2^5$ $2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32$
The set $P$ has 32 subsets.

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