Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Hello ! See the number of sets in A is = 5 = n Number of subsets in any set is given by the formula 2^n Where n is the number of elements P denotes Power set A power set is a set of all the subsets of a set The number of elements of a Power set P(A) of A is 2^n And the number of elements of in P(P(A)) = 2^2^n Therefore , The number of elements in P(P(P(P(P(P(A))))) = 2^2^2^2^2^2^n ⇒ 2^2^2^2^2^2^5 = 2^2^2^2^2^32 = 2^2^2^2^4294967296 = x Now the number of elements in P(P(P(P(P(P(A))))) is x And the number of subsets of P(P(P(P(P(P(A))))) = 2^x And hence, the answer would be nearly infinity And so the answer is ∞ Ans. I hope my answer is correct !!