determine number of subsets of 456 a6 b7 c3 d8SolutionThe nu

determine number of subsets of {4,5,6}
a)6
b)7
c)3
d)8

Solution

The number of elements in a set A is 3

The subset of A containing no elements - { }

The subset of A containing one element each - {4} {5} {6}

The subset of A containing two elements each - {4,5} {5,6} {4,6}

The subset of A containing three elements - {4,5,6}

Therefore, all possible subsets of A are { }, {4}, {5}, {6}, {4,5}, {5,6}, {4,5,6}

Therefore, number of all possible subsets of A is 8 which is equal 2^3 = 8

Therefore, the subsets of set of n elements, it is 2^n subsets

hence, the answer is (d) = 8