For the following exercises, find the number of subsets in each given set. A set containing 5 distinct numbers, 4 distinct letters, and 3 distinct symbols

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

A set containing 5 distinct numbers, 4 distinct letters, and 3 distinct symbols

Solutions

Expert Solution

Consider a set containing 5 distinct numbers, 4 distinct letters and 3 distinct symbols.

So, the number of elements in the given set is equal to

5 + 4 + 3 = 12

The formula for the number of subsets of a set is,

“A set containing n distinct objects has subsets.”

Substitute n = 12 in the formula, number of subsets of a set with 12elements will be,

2n = 212

= 4096

Therefore, the given set has 4096 subsets.

Junaid answered 1 year ago

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