Question

what's the number of elements in the power set of the {{a,b},c}​

Answer 1

Number of elements in the given set = 2

So, Number of Elements in power set = 2²

==> 4

Answer is 4

Answer 2

The number of elements in the power set of the set {{a, b}, c} is 4.

Given:

The set {{a, b}, c}

To Find:

Number of elements in the power set of the given set

Solution:

We can simply solve this problem by using the following mathematical process.

A power set is defined as the set or group of all subsets for any given set, including the empty set.  A set that has 'n' elements has 2n subsets in all.

The power set is denoted by the notation P(S) and the number of elements of the power set is given by 2n.

In the given set, the number of elements is 2

Therefore, in the power set, the number of elements will be

$2^{2} =4$

Hence, The number of elements in the power set of the set {{a,b},c} is 4.

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