Question

Find the number of subsets and the number of proper subsets of the following set

W = {red, blue, yellow}

Answer 1

W = {red, blue, yellow}

n(W) = 3

The number of subsets of W

= n[P(W)]

= 2^m

= 2³

= 8

Number of proper subsets of W

= n[P(W)] – 1

= 8 – 1

= 7

or

Number of proper subsets of W

= 2^m – 1

= 2³ – 1

= 8 – 1

= 7