Computers and Technology
Computers and Technology, 27.04.2021 14:50, 001054213

How many functions are there from a set with three elements to a set with five elements? Imagine creating a function from a 3-element set S to another set T as a three-step process. Step 1 sends the first element of S to an element in T; Step 2 sends the second element of S to an element in T; Step 3 sends the third element of S to an element in T. By the ---Select--- rule, the number of ways to create a function is the ---Select--- of the number of ways to perform each of the three steps. So, the answer is . (b) How many functions are there from a set with six elements to a set with two elements? (c) How many functions are there from a set with m elements to a set with n elements, where m and n are positive integers?

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