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 |A|+|B| elements to choose from AU B, where A and B are finite sets. b) The power set of set X has 2n elements, where |X|=n, for some natural number n. P(n,r) c) C(n,r)= where n, rN, n ≥ r. r! Xx d) The coefficient of x³ 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 |A|+|B| elements to choose from AU B, where A and B are finite sets. b) The power set of set X has 2n elements, where |X|=n, for some natural number n. P(n,r) c) C(n,r)= where n, rN, n ≥ r. r! Xx d) The coefficient of x³ in the expansion of (3x – 2) 13 is -938,223. -
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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