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10. (8 points) How many surjective maps are there from (1,2,..., n} to (a, b)? How many surjective maps are there from (1,2,..., n} to

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10. (8 points) How many surjective maps are there from (1,2,..., n} to (a, b)? How many surjective maps are there from (1,2,..., n} to (a, b, c)? Prove your answers. 11. (8 points) Let A and B be sets with |A| = m and |B| = n. Let Bo EB, with |Bol = k. How many maps f : A - B satisfy f(A) CBo

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