(a) Give a recursive definition for the intersection of the sets A1, A2, . . . ,...
Question:
(b) Use the result in part (a) to show that for all n, r ∈ Z+ with n > 3 and 1 < r < n,
(A1 ∩ A2 ∩ ∙ ∙ ∙ ∩ Ar) ∩ (Ar+1 ∩ ∙ ∙ ∙ ∩ An) = A1 ∩ A2 ∩ ∙ ∙ ∙ ∩ Ar ∩ Ar+1 ∩ ∙ ∙ ∙ ∩ An.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Question Posted: