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Write down all the subsets ofa,b,c,d,e.

Short Answer

Expert verified

The subsets are :∅,a,b,c,d,e,a,b,a,c,a,d,a,e,b,c,b,d,b,e,c,d,c,e,d,e,a,b,c,a,b,d,a,b,e,a,c,d,a,c,e,a,d,e,b,c,d,b,c,e,b,d,e,c,d,e,c,d,a,a,b,c,d,a,b,c,e,a,b,d,e,a,c,d,e,b,c,d,e,a,b,c,d,e

Step by step solution

01

Step 1. Given Information.

Write down all the subsets ofa,b,c,d,e.

02

Step 2. Subsets.

The total number of subsets are 2nwhere n=5.

The number of subsets are 25=32.

The 0 elements - ∅.

The 1 elements - a,b,c,d,e.

The 2 elements - role="math" a,b,a,c,a,d,a,e,b,c,b,d,b,e,c,d,c,e,d,e.

The 3 elements - a,b,c,a,b,d,a,b,e,a,c,d,a,c,e,a,d,e,b,c,d,b,c,e,b,d,e,c,d,e,c,d,a.

The 4 elements - a,b,c,d,a,b,c,e,a,b,d,e,a,c,d,e,b,c,d,e.

The 5 elements -a,b,c,d,e.

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