Question: Acomputer network consists of six computers. Each computer is directly connected to zero or more of the other computers. Show that there are at least

Acomputer network consists of six computers. Each computer is directly connected to zero or more of the other computers. Show that there are at least two computers in the network that are directly connected to the same number of other computers.

Step by Step Solution

★★★★★

3.52 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let c be the number of computers that the i th computer is connected to Each ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

923-M-C-M-S (1965).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

a) How many cards must be chosen from a standard deck of 52 cards to guarantee that at least two of the four aces are chosen? b) How many cards must be chosen from a standard deck of 52 cards to...

The U.S. Department of Defense Reliability Analysis Center publishes Selected Topics in Assurance Related Technologies (START) sheets to help improve the quality of manufactured components and...

The number of flaws in bolts of cloth in textile manufacturing is assumed to be Poisson distributed with a mean flaw per square meter. (c) What is the probability that there are no flaws in 20 square...

A computer network consists of 7 computers. Each computer is directly connected to 0 or more of the other computers. Show that there at least 2 computers in the network that are directly connected to...

1. Find the prime factorization of each of these integers. a) 39 b) 81 2. What is the greatest common divisors of these pairs of integers? a) 2 * 33 + 55, 25 * 3 + 52 b) 17, 17'7 c) 22 * 7,53 * 13 3....

Important note: When writing your solutions, you must follow the guidelines below. The answers should be concise, clear and neat. When presenting proofs, every step should be justied. Assignments...

10. A computer network consists of 10 computers. Each computer directly connects to an even number (i.e., 2, 4, 6 or 8) of the other computers. Show that there are at least three computers in the...

How many bit strings of length eight either begin with two 0's or end with three I's? The name of a variable in the C programming language is a string that can contain uppercase letters, lowercase...

Numerical Constants (a) Integer Constants: These constants are represented with whole numbers. They require a minimum of 2 bytes and a maximum of 4 bytes of memory. The following concepts are...

Suppose Chief Executive Officers (CEOs) of two multinational companies (X and Y) in two different countries are holding an important meeting through video conferencing. There are two meeting rooms...

Many employees believe that their employers stock is less likely to lose half of its value than a well diversified portfolio of stocks. Explain why this belief is erroneous.

BioHouse is a small German retailer of biological products with 20 shops across the whole country. This year (year 0) the company achieved revenues of 80k per store with a gross margin of 30%....

based on the attached, assume a diversified approach of Mix of Emerging and Developed Markets with Opportunity for higher returns through growth in emerging markets like Asia and Latin America and...

13. Consider a sample x1, . . . , xn from some statistical population, and let x, S2x , and Sx denote the sample mean, sample variance, and sample standard deviation. (a) Suppose that the xi values...

Order Statistics. Let X1, X2, , Xn be a random sample of size n from X, a random variable having distribution function F(x). Rank the elements in order of increasing numerical magnitude, resulting in...

Continuation of Exercise 7-65. Let X1, X2, , Xn be a random sample of a Bernoulli random variable with parameter p. Show that Use the results of Exercise 7-65.

Continuation of Exercise 7-65. Let X1, X2, , Xn be a random sample of a normal random variable with mean and variance 2. Using the results of Exercise 7-65, derive the probability density functions...

Page\ 2\ of 3\ 1\ Options, Futures and Other Derivative Securities\ FINE 4800A, Fall 2023\ Individual Assignment #2\ Due on Dec. 8 at 11:59pm (EST/Toronto local time)\ Important:\ Your assignment can...

A 5 % semi - annual pay $ 1 0 0 0 bond matures in 4 years. What is the YTM if the price is $ 1 , 0 6 9 ? I do not want this answer to be solve by YTM on a semi - Annual bond but instead doing it by...

Tech Engineering Company is considering the purchase of a new machine to replace an existing one. The old machine was purchases 4 years ago at a cost of $8,000, and was being depreciated over 8 years...