Question: Please answer them. 9. Consider functions f: {1, 2, 3, 4} > {a, b, C, d, e, f}. How many functions have the property that

Please answer them.

Consider functions f: {1, 2, 3, 4} > {a, b, C, d, e, f}. How many functions have the property that f(1) y a or f(2) y bor both? functions. Consider sets A and B with |A| = 10 and 'B' = 5. How many functions f: A > Bare surjective? functions. Let A = {1, 2, 3, 4, 5}. How many injective functions f: A -> A have the property that for each x E A, f(x) * x? functions.The Grinch sneaks into a room with 7 Christmas presents to 7 different people. He proceeds to switch name-labels on the presents. How many ways can he do this if: a. No present is allowed to end up with its original label? ways. b. Exactly 3 presents keep their original labels? ways. 0. Exactly 4 presents keep their original labels? ways

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