If a set has 5 elements, then the power set of that set has ______ elements.

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OPSC ASO (Maths & Reasoning) 27 Aug 2022 Official Paper
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  1. 25
  2. 32
  3. 10
  4. None of these

Answer (Detailed Solution Below)

Option 2 : 32
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Detailed Solution

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Given:

Number of elements in the set = 5

Formula Used:

Number of elements in a power set = 2n, where n is the number of elements in the set.

Calculation:

n = 5

⇒ Number of elements in the power set = 25

⇒ Number of elements in the power set = 2 × 2 × 2 × 2 × 2

⇒ Number of elements in the power set = 32

The power set of a set with 5 elements has 32 elements.

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