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How Many Elements Has P(A), If a = φ? - Mathematics

Sum

How many elements has P(A), if A = Φ?

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Solution

We know that if A is a set with m elements i.e., n(A) = m, then n[P(A)] = 2m.

If A = Φ, then n(A) = 0.

∴ n[P(A)] = 20 = 1

Hence, P(A) has one element.

Concept: Subsets
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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 1 Sets
Exercise 1.3 | Q 5 | Page 13
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