Question: Consider functions f: {1, 2, 3, 4, 5, 6} {1, 2, 3, 4, 5, 6, 7, 8, 9}. a. How many functions are there

Consider functions f: {1, 2, 3, 4, 5, 6} {1, 2, 3, 4, 5, 6, 7, 8, 9}. a. How many functions are there total? b. How many functions are injective? c. How many of the injective functions are increasing? To be increasing means that if a < b then f(a) < f(b), or in other words, the outputs get larger as the inputs get larger. Note: You can earn partial credit on this problem.

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