If A = {a, b, c, d, e, f}, then the number of | vedclass

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(C) The total number of subsets of a set with $n$ elements is $2^n$.Here, $n = 6$, so the total number of subsets is $2^6 = 64$.Subsets with $0$ eleme

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$57$

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(C) The total number of subsets of a set with $n$ elements is $2^n$.Here, $n = 6$, so the total number of subsets is $2^6 = 64$.Subsets with $0$ elements (the empty set) $= \binom{6}{0} = 1$.Subsets with $1$ element $= \binom{6}{1} = 6$.Subsets with at least $2$ elements $=$ Total subsets $-$ (Subsets with $0$ elements $+$ Subsets with $1$ element).Subsets with at least $2$ elements $= 64 - (1 + 6) = 64 - 7 = 57$.

If $A = \{a, b, c, d, e, f\}$, then the number of subsets of $A$ which contains at least $2$ elements is

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