(e) (4 pts) AUBUC| = |A| + |B| + |C|- |An B|- |ANC|-|BNC | + |AN...

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(e) (4 pts) AUBUC| = |A| + |B| + |C|- |An B|- |ANC|-|BNC | + |AN BNC. (f) (4 pts) If f A B is a bijection, and g: BC is a bijection, then h: A C defined as h(x) = g(f(x)) is a bijection. (g) (4 pts) Consider any functions f: A B and g BC (which may or may not be bijections). If h AC defined as h(x) = g(f(x)) is a bijection, then both and g must be bijections. (e) (4 pts) AUBUC| = |A| + |B| + |C|- |An B|- |ANC|-|BNC | + |AN BNC. (f) (4 pts) If f A B is a bijection, and g: BC is a bijection, then h: A C defined as h(x) = g(f(x)) is a bijection. (g) (4 pts) Consider any functions f: A B and g BC (which may or may not be bijections). If h AC defined as h(x) = g(f(x)) is a bijection, then both and g must be bijections.