Question

The cardinality of the Power set of the set {1, 5, 6} is______________.

Answer 1

Answer:

Step-by-step explanation:

8

Answer 2

Answer:

The cardinality of the Power set of the set {1, 5, 6} is 8

Step-by-step explanation:

Power set of the given set, let's suppose the given set is (K)- means all possible subsets that we can find from the set, including the null set and the already provided set.

Given:

The provided set- {1,5,6}

From the above set, we can guess the possible subsets, which can be:

1,5

1,6

5,6

6,1

5,1

6,5

0- null set

1,5,6- given set

Method to find cardinality:

The cardinality of the power set- means the number of components present in the set (K) ( The set which is already mentioned above)

It can be found by the formula:

P(K)= 2^n (n is the number of components of the given set {1,5,6}= 3    components)

       = 2^3 ( means 2 to the power 3- 2³)

       =2×2×2

      = 8

Thus,the cardinality of the Power set of the set {1, 5, 6} is 8

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