99 Percentile Qs Bank for JEE MainMathematicsSets and Relations

If a set contains n elements, then its power set will contain

Options

An elements
B2 n elements
Cn 2 elements
D2 n

Correct answer

B. 2 n elements

Step-by-step solution

Let there is only 1 element in a set S , and let S = a . So, power set of S   is   P S = ϕ , a . Which shows that number of elements contained in the power set are 2 = 2 1 . Similarly, if there are 2 elements in a set S , and let S = a , b . So, power set of S   is   P S = ϕ , a , b , a , b . Which shows that number of elements contained in the power set are 2 2 . Similarly, if there are n elements in a set S , then the number of elements in the power set of S will be = 2 n .

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