1.

Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n are (a) 7, 6 (b) 6, 3 (c) 5, 1 (d) 8, 7

Answer»

(b) 6, 3

∵ The number of subsets of a set containing p elements = 2p

Here, 2m – 2n = 56

The values of m and n satisfying the given equations from the given options are 6, 3. 

26 – 23 = 64 – 8 = 56.



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