EXERCISES 29.9Primary 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?5 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?A nuclear power station is to be built on one of 20possible sites. A team of engineers is commissioned toexamine the sites and rank the three most favourablein order. In how many ways can this be done?Solutions(c) p+ 5p*q+ 10p'q² + 10p²q +5pq +q°1 (a) 20 160(d) 455(b) 1 663 200(c) 220(e) 4554 1122 (а) 1п(п — 1)(c)(b) п17576 000. Yes, it is more secure. Combination is not3 (a) at + 4a b+ 6a b? + 4ab +b4being used correctly: permutation lock would bebetter.(b) 1 + 6x + 15x2 + 20x + 15x + 6x + x6840

The selection of r objects from n objects can be calculated using the formula . Where, .…

Primary and secondary routes connecting two computers need to be chosen. Two primary routes are needed from eight which are suitable and three secondary routes must be chosen from four available. In how many ways can the routes be chosen?

Primary and secondary routes connecting two computers need to be chosen. Two primary routes are needed from eight which are suitable and three secondary routes must be chosen from four available. In how many ways can the routes be chosen?

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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