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Best answer
36 votes
36 votes

Answer: $2048$

  • For any set $S$ having $n$ elements, the number of elements in power set $P(S)$ is $2^n$.
  • The term cardinality means the number of elements present in the set.

Number of elements in set $= 11.$

Therefore, cardinality of power set $= 2^{11} = 2048.$

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11 votes
11 votes
The cardinality of the power set of $\left \{ 0,1,2,..,10 \right \}$ is _______
Total number of elements in given set is $11$.
So the cardinality of the power set of given set will be $2^{11}$  $= >$ $2048$
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4 votes
4 votes

Let, A ={0,1,2,3,,,10}

| A| = 11

| p(A)| = 2^11 =2048.

 The correct answer is 2048.

Answer:

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