5 7. Let X,Y be two sets. Denote F(X,Y) the set of all funtions from X to Y. Let A, B C X such that AUB=X, AnB=0. Show that |F(X,Y)| = |F(A,Y) × F(B,Y)|.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Let X; Y be two sets. Denote F(X; Y ) the set of all funtions from X to Y . Let A;B ( X
such that A [ B = X, A \ B = ;. Show that jF(X; Y )j = jF(A; Y )  F(B; Y )j.

5
7. Let X,Y be two sets. Denote F(X,Y) the set of all funtions from X to Y. Let A, B C X
such that AUB=X, AnB=0. Show that |F(X,Y)| = |F(A,Y) × F(B,Y)|.
Transcribed Image Text:5 7. Let X,Y be two sets. Denote F(X,Y) the set of all funtions from X to Y. Let A, B C X such that AUB=X, AnB=0. Show that |F(X,Y)| = |F(A,Y) × F(B,Y)|.
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