Question

The number of proper sub sets of the set `{3, 4, 5, 6, 7}` is

Answer 1

Let `A = {3,4,5,6,7}`
Number of proper subsets of a set containing `n` elements can be given as `2^n-1`.
Here, `A` contains `5` elements.
`:. n = 5`
So,number of proper subsets of set `A` will be `=2^5 - 1 = 31.`