a. Howmanyontofunctionsaretherefromasetwiththree elements

Chapter 9, Problem 9.205

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a. Howmanyontofunctionsaretherefromasetwiththree elements to a set with two elements? b. Howmanyontofunctionsaretherefromasetwiththree elements to a set with ve elements? c.H Howmanyontofunctionsaretherefromasetwiththree elements to a set with three elements? d. How many onto functions are there from a set with four elements to a set with two elements? e. How many onto functions are there from a set with four elements to a set with three elements? f.H Let cm,n be the number of onto functions from a set of m elements to a set of n elements, where m n 1. Find a formula relating cm,n to cm1,n and cm1,n1.

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