If A = {x, y, z}, then the number of subsets in powerset of A is

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NIMCET 2020 Official Paper
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  1. 6
  2. 8
  3. 7
  4. 9

Answer (Detailed Solution Below)

Option 2 : 8
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NIMCET 2020 Official Paper
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Concept:

  • The power set (or powerset) of a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set.

Calculations:

Given, A = {x, y, z}. 

The power set (or powerset) of a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set.

Powerset of A = {ϕ,{x}, {y}, {z}, {x, y}, {y, z}, {x, z},{x, y, z}}.

Hence, the number of subsets in the powerset of A is 8.

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