How many subsets does a set with n distinct elements have ?

Deduce from these two results that a set with 2 elements has 2^2 subsets, a set with 3 elements has 2^3 subsets, and so on. How many subsets does a set with n elements have ?

Prove that (i) if a set has only one element , then it has 2 subsets . (ii) If BsubA and if B has one elements less than that of A, prove that A has twice as many subsets as B . (iii) Deduce from these two results that a set with 2 elements has 2^(2) subsets , a set with 3 elements has 2^(3) subsets , and so on . How many subsets does a set with n elements have ?

The number of subsets of a set containing n distinct elements is

Prove that number of subsets of a set containing n distinct elements is 2^n , for all n in N

Prove that the number of subsets of a set containing n distinct elements is 2^n for all ""n in N .

Prove, by Induction, that the number of all the subsets of a set containing n distinct elements, is 2^n .

The number of proper subsets in a set consisting of five distinct elements is_____

The number of subsets in a set consisting of four distinct elements is_____

1) How many subsets does a set A ={a,b,c,d} have?