In: Advanced Math
For the following exercises, find the number of subsets in each given set.
{a, b, c, … , z}
Consider the following set:
{a, b, c, … z}
The number of elements in the given set is equal to 26.
The formula for the number of subsets of a set is,
“A set containing n distinct objects has 2n subsets.”
Substitute n = 26 in the formula, number of subsets of a set with 26elements will be,
2n = 226
= 67,108,864
Therefore, the given set has 67,108,864 subsets.
Therefore, the given set has 67,108,864 subsets.