Let A(1), A(2), A(3),…….., A(100) be 100 sets such that number of elements in A(i)=i+1 and A(1) is subset of A(2), A(2)is subset of A(3),….., A(99) is subset of A(100). The number of elements in union of the all the sets are: n(A(1) U A(2) U A(3) …..U A(100)).(a) 99(b) 100(c) 101(d) 102The question was asked by my college director while I was bunking the class.My doubt stems from Subsets in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Let A(1), A(2), A(3),…….., A(100) be 100 sets such that number of

1.	Let A(1), A(2), A(3),…….., A(100) be 100 sets such that number of elements in A(i)=i+1 and A(1) is subset of A(2), A(2)is subset of A(3),….., A(99) is subset of A(100). The number of elements in union of the all the sets are: n(A(1) U A(2) U A(3) …..U A(100)).(a) 99(b) 100(c) 101(d) 102The question was asked by my college director while I was bunking the class.My doubt stems from Subsets in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» CORRECT answer is (c) 101 Explanation: Since all SETS are subsets of A(100) therefore in union only elements of A(100)will come.A(100) CONTAINS 101 elements.

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