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Practice Problems 1.3 52 1. Evaluate the following: 314! GC, Solve the following equations: [A] 2. *C3= x + ²C4

Practice Problems 1.3 52 1. Evaluate the following: 314! GC, Solve the following equations: [A] 2. *C3= x + ²C4

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(10-1) = 4.5. Hence for j up to 4 the terms are increasing, from j = 5 on, the terms decrease for n= 11. j must be less than (11-1)=5. For j=5, (n-j) i(j+1)= 1. Hence, up to j=5 the terms 11C5 increase, then ¹¹C,="¹ C6, and then the terms 11 decrease. A e.or Practice Problems [A] -7! 1. Evaluate the following: 3141 GC, 3! 4! Solve the following equations : *C3 = x + 2C₁ fr. 0 Proof: (x+ a) = (x + a)(x number of factors being n Every term in the expansi letter from each factor and Choosing x from all the Choosing x from (n - remaining factor we ge n ways of doing this is ec choosing one factor fr are therefore "C, terms x from (n-2) factors factors, we get x¹-2 doing this is equal to two factors from n fi are "C₂ terms each
Transcribed Image Text:(10-1) = 4.5. Hence for j up to 4 the terms are increasing, from j = 5 on, the terms decrease for n= 11. j must be less than (11-1)=5. For j=5, (n-j) i(j+1)= 1. Hence, up to j=5 the terms 11C5 increase, then ¹¹C,="¹ C6, and then the terms 11 decrease. A e.or Practice Problems [A] -7! 1. Evaluate the following: 3141 GC, 3! 4! Solve the following equations : *C3 = x + 2C₁ fr. 0 Proof: (x+ a) = (x + a)(x number of factors being n Every term in the expansi letter from each factor and Choosing x from all the Choosing x from (n - remaining factor we ge n ways of doing this is ec choosing one factor fr are therefore "C, terms x from (n-2) factors factors, we get x¹-2 doing this is equal to two factors from n fi are "C₂ terms each
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