Question

7. Let A=(8,9,10,11,12,13).

Answer 1

a. A has 64 subsets.

b. A has 63 proper subsets.

What are subsets and proper subsets?

If all of the items of Set A are also present in Set B, Set A is said to be a subset of Set B. Set A is, in other words, contained within Set B.

If Set B has at least one element that is not present in Set A, Set A is considered a proper subset of Set B.

If a set has "n" members, the number of subsets of that set is 2ⁿ, and the number of proper subsets of that subset is 2ⁿ-1.

Given:

Set A=(8,9,10,11,12,13)

Number of elements in the given set,n = 6

a. Number of subsets of A = 2ⁿ = 2⁶ = 64

b. Number of proper subsets of A = 2ⁿ-1 = 2⁶-1 =63

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