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Kenneth Rosen Edition 7 Exercise 6.1 Question 40 (Page No. 397)

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No of subsets of a set with n elements = $\large 2^n$

n = 100.
$\large \therefore$ no. of subsets with more than one elements = $\large 2^{100} -101$ (100 subsets of size 1, 1 subset of size 0)

PS: do correct me, if I’m wrong
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