Question
Let S and T be sets. Define a function f: P (S) P(T) P(ST) by f(A,B) = A B for all A S and B
Let S and T be sets. Define a function f: P(S) P(T) P(ST) by f(A,B) = A B for all A S and B T
a. Show that f is a surjection.
b. Show f is an injection iff S and T are disjoint.
*P(S), P(T) means power set.
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Elementary Statisitcs
Authors: Barry Monk
2nd edition
1259345297, 978-0077836351, 77836359, 978-1259295911, 1259295915, 978-1259292484, 1259292487, 978-1259345296
