Find the number of subsets

Question

Find the number of subsets for the set A = {red, blue, green, yellow}

Answer 1

if a set has n elements, the number of subsets is 2^n

2^4=16 subsets

{red}

{blue}

{green}

{yellow}

{red,blue}

{red,green}

{red,yellow}

{blue,green}

{blue,yellow}

{green,yellow}

{red,blue, green}

{red,blue,yellow}

{blue green,yellow}

{red,green,yellow}

{red,blue,green,yellow}

Ø which is the empty set or null set

 

Answer 2

The number of subsets in a set with n elements is 2^n.  In this case n = 4, so the number of subsets is 2⁴ = 16.