Respuesta :

If there are n elements in a set, then there are 2ⁿ subsets.

In this case, there are 4 elements in the given set, then we have:

[tex]\begin{gathered} n=4 \\ \text{ number of subsets of the set = }2^n \\ \text{ number of subsets of the set = }2^4^{} \\ \text{ number of subsets of the set = }2\cdot2\cdot2\cdot2 \\ \text{ number of subsets of the set = }16 \end{gathered}[/tex]

Therefore, there are 16 subsets in the given set.

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