Question

If a set has 10 elements, then number of elements in its power set is​

Answer 1

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Number of Elements in Power Set :-

● For a given set S with n elements, number of elements in P(S) is 10ⁿ.

● As each element has two possibilities (present or absent}, possible subsets are 10×10×10.. n times = 10ⁿ. Therefore, 

● Power set contains 10ⁿ elements.