Suppose that in the world every pair of people either (a) likes one another, (b) dislikes...

Suppose that in the world every pair of people either

(a) likes one another,

(b) dislikes one another, or

Prove that in any gathering of 17 people, there is a group of three people all of whom satisfy one of conditions (a), (b) or (c).

Solutions

Expert Solution

solution:

PLEASE GIVE ME A LIKE

venereology answered 7 months ago

Next > < Previous

Related Solutions

suppose that for every pair of disjoint closed sets A and B of X there exist...

suppose that for every pair of disjoint closed sets A and B of X there exist a countinous function f:X-> {0,1} such that f(A)={0} and f(B)={1}. show one point set is closed in X.

Suppose the government imposes a tax of $10 on every pair of shoes sold be every...

Suppose the government imposes a tax of $10 on every pair of shoes sold be every seller in Canada. Will the $10 be paid by the seller, the buyer or both? How does the price elasticity of demand affects the incidence of this tax on buyers and sellers?

Let T be a graph. Suppose there is a unique path between every pair of vertices...

Let T be a graph. Suppose there is a unique path between every pair of vertices in T. Prove that T is a tree. Can I do this using the contraposative? Like Let u,v be in T and since I am assuming T to not be a tree this allows cycles to occur thus the paths must not be unique. Am I on the right track?

describe a simple linear relationship either in your every day life or in the business world

Suppose the world price for shoes is $32 per pair. Domestic demand and domestic supply are...

Suppose the world price for shoes is $32 per pair. Domestic demand and domestic supply are determined by the following equations: Domestic Demand: p = 120 ≠ 2q Domestic Supply: p = 20 + 3q where p and q represent price and quantity, respectively. 1. Under free trade, the domestic economy purchases _____________ pairs of shoes. A) 15 B) 22 C) 44 D) none of the above 2. Under free trade, domestic producers supply ___________ pairs of shoes. A) 2...

1. Suppose Betty likes to consume cheese and biscuits, consuming 3 ounces of cheese(C) per every...

1. Suppose Betty likes to consume cheese and biscuits, consuming 3 ounces of cheese(C) per every 2 biscuits(B). What is the utility function that best illustrates Betty’s preferences? a) U(C, B) = min{ C 2 , B 3 } b) U(C, B) = min{ 2C 3 , B} c) U(C, B) = min{C, B 2 } d) U(C, B) = min{ C 2 , B} 2. A consumer buys food (F) and shelter (S). If the consumer’s income doubles and...

Law of one price. Suppose the price of a pair of Crocs in the U.S. is...

Law of one price. Suppose the price of a pair of Crocs in the U.S. is $10.00 and in the People’s Republic of China (PRC) it is ¥40 (Yuan or RMB), and the current spot exchange rate is: e¥/$ = 3. (5 pts.) Determine the following: e$/¥ = e¥/$ Law of One Price = e$/¥ Law of One Price= $ Overvalued or Undervalued (circle the correct answer): Overvalued Undervalued ¥ Over or Undervalued (circle the correct answer)): Overvalued Undervalued

PRACTICE ANOTHER Suppose that a category of world class runners are known to run a marathon...

PRACTICE ANOTHER Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 149 minutes with a standard deviation of 12 minutes. Consider 49 of the races. Let X = the average of the 49 races. Find the 70th percentile for the average of these 49 marathons. (Round your answer to two decimal places.)

At one time or another, almost every retailer claims that their first and only priority is...

At one time or another, almost every retailer claims that their first and only priority is to make the customer happy. Few, however, can duplicate what Nordstrom does. For the Seattle-based upscale retailer, “the customer is always right” is not just a promotional motto but a way of life that guides the organization. The entire company is directed towards one goal––catering to the needs of customers. Sales associates are given incredible freedom to do whatever is needed to make customers...

Suppose you have a pair of tetrahedra. One is red on one face, yellow on two...

Suppose you have a pair of tetrahedra. One is red on one face, yellow on two faces, and green on one face. The other is white and has faces marked 1, 2, 3 ,4 a. Complete the table 1 2 3 4 Red Yellow Yellow Green b. If both tetrahedra are tossed, what is the probability of a red (facing down) and a 3 (facing down)? Of a yellow (facing down) and a number >1 on the other (facing down?)...

Subjects