1.

What is the total number of proper subsets of a set consisting of n elements?

Answer»

A total number of subsets for any given ser is 2n

In every set there is only one improper set i.e. the set itself. 

∴ proper subsets would be 2n–1. 

Example : 

A = {1,2,3}There will be 23 - 1 = 8 - 1 = 7 proper subsets.These are [ { ∅},{1},{2},{3},{1,2}, {1,3},{2,3}].



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