Combinatorics Section8. Bob owns 14 different books. He wants to pick-out-and-arrange 4 of these books left-to-right on a singlebookshelf. How many distinguishable ways can Bob do this?А. 24022В. 24023С. 24024D. 24025

Answered: 8. Bob owns 14 different books. He…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Н.W 1. If A = /2-1 B = -1 1 C = 1 find (a) A + B, (b) A- B, 2 -4 (e) 24 - 3C, (d) 3А + 2B - 4С, (е) АВ, ) BА, (0) (АВ)С. () A(ВC), () AT + B", ) BA". 2 1 -1 1 -2 3 -2 1 2 1 -1 -2 1 3 2. If A = B = show that 2 -1 1 (А + By 3 A + AB + BA + B 3. prove that: det (AB) = det (A) det (B) If 2 A = B = --3 4 /3-2 4. (a) Find the inverse of the matrix A = direct multiplication. 1 2 -8 and (b) check the answer by 5. Solve the system of equations 3x, - 2x + 2x, = 10 1 + 2x2 - 3xs = -1 4x + xa + 2x3 = 3 (a) by Cramer's rule and (b) by using inverse matrices. (3x, - 2x2 + 2x, = 0 2 + 2x - 3xs = 0. by Cramer's rule 421 + :+ 2x, = 0 6. Solve 7. For what values of k will the system 2z + ky + z = 0 (k - 1)z - y + 2z = 0 4z + y+4z = 0 have non-trivial solutions? Solving formally by Cramer's rule.
b +c =? с — 2а 4a = 3b, 5b = 3c =
assume that 3 sisters took a joint insurance policy.their ages are 34 , 28 and 24.if one of the sisters die , the policy gives an amt of 100,1000 $ each to the remaing sisters. if 2 sisters die , then the policy gives an amount of 500,000$ to the last surviving sister.in case no one dies, the insurer will pay the cash which is = 150.000.$ the term of the policy is 10yrs 1] find the probablity that the insurer will pay 500,000$ 2]find thr probabilty that the insurer will pay 150,000$
Anthony, Brian and Chris are hired for a job. If Anthony and Brian are working together they will finish the job in 36 minutes. If Anthony and Chris are working together they will finish the job in 45 minutes. If Brian and Chris are working together, they will finish the job in 1 hour. If the Chris is working alone, how long will it take him to finish the job? А 72 minutes В 90 minutes 108 minutes 180 minutes
Matching ... Match each expression from the left hand column with an equivalent expression from the right hand column. -2 4 -8 1, 3 '9'27 В. (-1)"(n+2)" i. 2" n=1 -5 3 -7 1. 8'8'32 с. D. 1,1,2,3,5,8,... ii. ! n=1 N 3 -4 5 -6 7 Е. 5' 25'125' 625'3125 iii. Lim a, = 2 5 10 17 26 2. 2 3 4'5 F. iv. G. п,е, п,е, п,е,.. n+ н. 1+x+x +x' +.. 4 +-+ 25 -3 I. +.. + 4 9 16 1 1 1 1 1+-+-+-+-+.. J. 2 3 4 5
1. What is the sum of the radical expression 6v3 + v3 ? А. буб В. 7У3 C. 7/9 D. 6V3 2. Which of the following is the difference of 5/2 – 2/18 ? A. -V2 В. 2 C. 3/2 D. –11/2 3. What is the combined form of 8 y - 6/y+ 2/y ? C. 2/y D. 4/y A. -4/y В. 16Уу

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8. Bob owns 14 different books. He wants to pick-out-and-arrange 4 of these books left-to-right on a single bookshelf. How many distinguishable ways can Bob do this? А. 24022 В. 24023 С. 24024 D. 24025