Prove that among any six people, there are always three mutural acquaintances or three mutural strangers....

Prove that among any six people, there are always three mutural acquaintances or three mutural strangers. If among five people, can we still have such a conclusion?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Describe similarities among the triplets from the film “Three Identical Strangers”, specifically how they were similar...

Describe similarities among the triplets from the film “Three Identical Strangers”, specifically how they were similar in their physical traits, personality traits and their upbringing/ environment.

In how many ways can six people be selected from among thirteen people (a) if order...

In how many ways can six people be selected from among thirteen people (a) if order counts? (b) if order does not count?

It's always fun to get together with family, friends and other acquaintances to share some great...

It's always fun to get together with family, friends and other acquaintances to share some great fun, food and fellowship. So, lets have ourselves a virtual potluck and you are all invited. We have all agreed to have a virtual Thanksgiving dinner and split the cost. Everyone has to select and bring their favorite recipe to the potluck. We all agreed to split the cost equally and we'll say that there are 20 of us going to attend. That means...

It's always fun to get together with family, friends and other acquaintances to share some great...

It's always fun to get together with family, friends and other acquaintances to share some great fun, food and fellowship. So, lets have ourselves a virtual potluck and you are all invited. For this Discussion Board assignment, we have all agreed to have a virtual Thanksgiving dinner and split the cost. Everyone has to select and bring their favorite recipe to the potluck. We all agreed to split the cost equally and we'll say that there are 20 of us...

Prove or disprove: If a, b, c are any three distinct positive integers such that 1/a...

Prove or disprove: If a, b, c are any three distinct positive integers such that 1/a + 1/b + 1/c = 1, then a + b + c is a prime

Prove or disprove: If a, b, c are any three distinct positive integers such that 1/a...

Prove or disprove: If a, b, c are any three distinct positive integers such that 1/a + 1/b + 1/c = 1, then a + b + c is a prime.

Prove that any two groups with one element are isomorphic. Prove that any two groups with...

Prove that any two groups with one element are isomorphic. Prove that any two groups with two elements are isomorphic. Prove that any two groups with three elements are isomorphic.

The three major ways of receiving non work-related funds from acquaintances are: • Gift – •...

The three major ways of receiving non work-related funds from acquaintances are: • Gift – • Bequest – • Trust – Explain each.

Among a group of ten people, two are NDP, three are Liberal and four are Conservative....

Among a group of ten people, two are NDP, three are Liberal and four are Conservative. Three of the eight are selected at random, without replacement. Find the joint pmf of the random vector (X; Y ), where X denotes the number of NDP selected and Y denotes the number of Liberals selected. Be sure to specify its range. The final answer is supposed to be: ((2choose x)(3choose y)(4 choose 3-x-y))/(10 choose 3) please show the steps and necessary explanations...

The changes in weight during three months for six people on a diet were 10,12, 14,...

The changes in weight during three months for six people on a diet were 10,12, 14, 16, 17, and −2 pounds. Use the sign test to find and interpret the P-value for testing that the probability that the weight difference is positive equals 0.50 against the alternative hypothesis that it is greater than 0.50. 1) Identify the correct null and alternative hypotheses. I know that the correct answer for this part is: H0 : p = 0.50 Ha : p...

Subjects