Question

If the number of subsets with two
elements of a set P is 10, then find the
total number of elements in the set P.

Answer 1

Step-by-step explanation:

For a given set S with n elements, number of elements in P(S) is 2^n. As each element has two possibilities (present or absent}, possible subsets are 2×2×2.. n times = 2^n. Therefore, power set contains 2^n elements.