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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.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
Problem 40WE
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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.
Transcribed Image Text: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.
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