EXERCISES 29.9Expand(a) (a+ b) (b) (1+x)6 (c) (p+q)$Evaluate(a) P(8, 6)(b) P(11, 7)(1)(4)Primary and secondary routes connecting twocomputers need to be chosen. Two primary routes areneeded from eight which are suitable and threesecondary routes must be chosen from four available.In how many ways can the routes be chosen?(c)(d)(e)Write out explicitly(3)(a)(b)(c)A combination lock can be opened by dialling threecorrect letters followed by three correct digits. Howmany different possibilities are there for arranging theletters and digits? Is this more secure than a lockwhich has seven digits? Is the word 'combination'being used correctly?3 The expansion of (a+b)" where n is a positive integermay be written with the help of combination notation.(a + b)" = d" +(") a"-22 +..A nuclear power station is to be built on one of 20possible sites. A team of engineers is commissioned ton-examine the sites and rank the three most favourablein order. In how many ways can this be done?d"-kkk=0Solutions1 (a) 20 160(b) 1 663 200(c) 220(c) p +5p*q+ 10p'q² + 10p q +5pq +q°(d) 455(e) 4554 1122 (а) 1(b) пn(n - 1)(c)17576 000. Yes, it is more secure. Combination is not3 (a) at + 4a b+6a?b² +4ab³ +64being used correctly: permutation lock would bebetter.(b) 1+ 6x + 15x² + 20x + 15x + 6x + x6840

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Description: EXERCISES 29.9Expand(a) (a+ b) (b) (1+x)6 (c) (p+q)$Evaluate(a) P(8, 6)(b) P(11, 7)(1)(4)Primary and secondary routes connecting twocomputers need to be chosen. Two primary routes areneeded from eight which are suitable and threesecondary routes mus

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Answered: 1 Evaluate (a) P(8, 6) (b) P(11, 7) ()…

Math

Probability

1 Evaluate (a) P(8, 6) (b) P(11, 7) () 12 (d) 12 (c) (e)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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