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The number of subsets of a set is 64. What is the number of elements in the set?

  • A.4
  • B.5
  • C.6
  • D.8

Answer: C

If a set has 'n' elements, the total number of its subsets is given by the formula \(2^n\).

We are given that the number of subsets is 64.

So, \(2^n = 64\).

We know that \(2^6 = 64\).

Therefore, n = 6. The set has 6 elements.

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