Question

In: Advanced Math

For the following exercises, find the number of subsets in each given set. {a, b, c, … , z}

For the following exercises, find the number of subsets in each given set.

{a, b, c, … , z}

Solutions

Expert Solution

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.

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