Question: 8. Let a,..., a and b,...,b be any two permutations of 1, 2,..., m. (a) Show that if m> 1 is a prime, then

8. Let a,..., a and b,...,b be any two permutations of 1, 2,..., m. (a) Show that if m> 1 is a prime, then there exist i and j, i j satisfying m|(a,b; -a;bj). (b) Prove the same assertion of m is composite.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

Question 5 (15 marks) a. You are looking for two debentures that are identical in every way except for their coupons and, of course, their prices. Both have 12 years to maturity. The first debenture...

In this question you will be asked to reflect on a project you have been involved in or observed, in which a design evolved, or could have evolved, through applying a theory of user behaviour. You...

1 Distributed Systems In a distributed electronic conference application each participant has a replica of a shared whiteboard. Only one user at a time may write to the whiteboard, after which the...

Consider the permutations of 1, 2, 3, 4. The permutation 1432, for instance, is said to have one ascent - namely, 14 (since 1 ...

Explain why, on a busy system, key press echoes might be delayed when a high-priority user interacts with a low-priority application. Propose a solution, describing how each of the above system calls...

In this question assume that p and q are atomic formulae. (a) Compare and contrast path formulae and state formulae in temporal logic. [4 marks] (b) Describe and contrast the meanings of F(G p) and...

Hi,i need assistance with Math assignment. thank you!! Problems #1-12 Multiple Choice. Problems #13-15 Short Answer. (Work not required to be shown) Problems #16-26 Short Answer with work required to...

Please describe the answers in words as well as numbers The figure shown below is an equilateral triangular prism and two tetrahedral joined together. All edges have the same length, and one face of...

re Regular Languages and Finite Automata (a) Let L be the set of all strings over the alphabet {a, b} that end in a and do not contain the substring bb. Describe a deterministic finite automaton...

6.2 Write on paper please Questions : 1,3, 5, 7, 9 Exercise Set 6.2 In Exercises 1-2, find the cosine of the angle between the vectors with In Exercises 9-10, show that the vectors are orthogonal...

According to the Mortgage Bankers Association of America, the foreclosure rate on home mortgages in 2007 was 2%. Assuming that this rate is applicable to a community where 500 homes have mortgages,...

Vivian is a single taxpayer with two children who qualify for the child and dependent care credit. She incurred $7,000 of qualifying child care expenses during the current year. She also received...

What's the bankruptcy - risk categorization of a firm with a 2 . 9 9 Z - score? Question 8 options: 1 ) High 2 ) Low 3 ) Mediocre 4 ) Very high

A hula hoop and solid disc of equal radii are rolled, from rest and without slipping, down an incline plane. Which one will reach the bottom of the inclined plane first? Explain.

Research: Find two to three online examples of performance appraisals for hourly employees that are more effective than the example in the case. Explain the elements that make your examples more...

Suggest and explain five specific performance standards to evaluate the delivery driver position. What type of appraisal form would be appropriate for the position? (LO 2, 3, 4, 57)

The MBO process for the managers doesnt seem to be working. Is MBO an appropriate evaluation method for the position? How can it be made more effective? (LO 5)