How many subsets?

Question

List all subsets or determine the number of subsets as requested.

Determine the number of subsets of {4, 5, 6}

 

 

Answer 1

{4,5,6}

there are 3 elements in the set

the number of subsets is 2^n where n=# of elements in the set

2^3=2*2*2=8 subsets

{3}

{4}

{5}

{3,4}

{3,5}

{4,5}

{3,4,5} (every set is a subset of itself)

∅ (the empty set or null set; the null set is a subset of every set)