Given two sets X and Y, we denote the cardinality of X by |X| and the set of all functions from X to Y by YX. Suppose that |A| <= |C| and |B| <= |D|. Show that |BA| <= |DC|. Hint: Construct a function psi: BA --> DC and show that it is injective. Can you please explain why this hint works too?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter1: Line And Angle Relationships
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Given two sets X and Y, we denote the cardinality of X by |X| and the set of all functions from X to Y by YX. Suppose that |A| <= |C| and |B| <= |D|. Show that |BA| <= |DC|. Hint: Construct a function psi: BA --> DC and show that it is injective. Can you please explain why this hint works too? 

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