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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 |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. -

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 |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. -
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 |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. -
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