Question

if a set contains 15 proper subsets then number of elements in that set​

Answer 1

Step-by-step explanation:

Each of the n elements of the set has two possible relationships with a particular subset: it is either in the subset or it is not.

This means that for the n elements there are 2^n possible subsets (fundamental counting rule). These include the null set and the original set, neither of which are proper subsets.

So we have 2^n - 2 proper subsets of a set with n elements.

If 2^n - 2 = 14, then 2^n = 16 and n = 4.

(Try it: the set {A, B, C, D} has subsets {A}, {B},{C},{D}, {A,B},{A,C},{A,D},{B,C},{B,D},{C,D},{A,B,C},{A,B,D},{A,C,D},{B,C,D}; 14 proper subsets)

Answer 2

Answer:

Given:  A set contains no. of subsets i.e, n = 15

then,

        No. of element in that set = (2)^n

                                                   = (2)^ 15

                                                   = 32,768 is the correct answer.

hope u it will help u..