7. Suppose that X and Y are disjoint sets and k E Z»o. Prove that the function p:U (P:(X) × Pk-:(Y)) → Pk(XUY) i=0 p(A, B) = AU B is a bijection. Deduce that (":") -±(")(") m+n т k i=0 for any m, n, k E Z>o.
7. Suppose that X and Y are disjoint sets and k E Z»o. Prove that the function p:U (P:(X) × Pk-:(Y)) → Pk(XUY) i=0 p(A, B) = AU B is a bijection. Deduce that (":") -±(")(") m+n т k i=0 for any m, n, k E Z>o.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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