Consider functions f: {1, 2, 3, 4, 5, 6} {1, 2, 3, 4, 5, 6,...
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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. 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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To solve this problem lets analyze each part separately a How many functions are there total For eac... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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