(a) 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 eleme of S to an element in T. By the-Select- rule, the number of ways to create a function is the -Select--v 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 four 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?
(a) 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 eleme of S to an element in T. By the-Select- rule, the number of ways to create a function is the -Select--v 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 four 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?
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.1: Functions
Problem 2E
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Help me please
![(a) 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 eleme
of S to an element in T. By the Select-
rule, the number of ways to create a function is the -Select- v 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 four 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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbaaa98d1-d1b5-4355-b340-479a451e55ce%2Ff825545f-8613-4bc0-91ca-77e456c621c7%2F0zmem9c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) 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 eleme
of S to an element in T. By the Select-
rule, the number of ways to create a function is the -Select- v 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 four 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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