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The total number of subsets of a finite set containing n elements is?(a) 2^n+1(b) 2n(c) 2^n(d) NThis question was addressed to me in an interview.I would like to ask this question from Subsets topic in division Sets of Mathematics – Class 11

Answer»

Correct ANSWER is (c) 2^n

The explanation: NUMBER of SUBSETS of a SET having r elements each is nCr. Hence, the total number of subsets is ^nC0 + ^nC1 + ^nC2 + ……+^nCn = 2^n.



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