2. True or False. Explain why? Justify your answer mathematically. Use examples, counterexamples, definitions or previously proven properties to support your answer (if needed). a) There are |+|B| elements to choose from AUB, where A and B are finite sets. b) The power set of set X has 2" elements, where |X|=n, for some natural number n. c) C(n,r) = P(n,r) where n, r E N, n ≥ r. r! d) The coefficient of x8 in the expansion of (3x-2) 13 is -938,223.

2. True or False. Explain why? Justify your answer mathematically. Use examples, counterexamples, definitions or previously proven properties to support your answer (if needed). a) There are |+|B| elements to choose from AUB, where A and B are finite sets. b) The power set of set X has 2" elements, where |X|=n, for some natural number n. c) C(n,r) = P(n,r) where n, r E N, n ≥ r. r! d) The coefficient of x8 in the expansion of (3x-2) 13 is -938,223.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 20E

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