Q12 of 24 Page 1

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

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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