Set, Relations and FunctionsPYQ Sep 24Question 1909 of 136

If a set contain $\displaystyle n$ elements, then the total number of proper subsets of set is:

Options

A

\displaystyle 2^{n-1}

B

\displaystyle 2^n

C

\displaystyle 2^{n-1}-1

D

\displaystyle 2^n-2

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Correct Answer

✅ Option a — $\displaystyle 2^{n-1}$

All Options:

A $\displaystyle 2^{n-1}$
B $\displaystyle 2^n$
C $\displaystyle 2^{n-1}-1$
D $\displaystyle 2^n-2$

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