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40 identical balls are rolling along a straight line. They all have speed equal to v, but some of them might move in opposite directions. When two of them collide they immediately switch their direction and keep the speed v. What is the maximal number of collision's that can happen?

40 identical balls are rolling along a straight line. They all have speed equal to v, but some of them might move in opposite directions. When two of them collide they immediately switch their direction and keep the speed v. What is the maximal number of collision's that can happen?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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40 identical balls are rolling along a straight line. They all have speed equal to v, but some of them might move in opposite directions. When two of them collide they immediately switch their direction and keep the speed v. What is the maximal number of collision's that can happen?
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Transcribed Image Text:estion 5 teria are grown in a petri dish. The amount of bacteria doubles in size every 2 days. If it took 16 days for the bacteria to cover the whole petri dish, how many days did it tak Eteria to cover one quarter of the petri dish? Other.... Other Please Specify: 12 Question 6 40 identical balls are rolling along a straight line. They all have speed equal to v, but some of them might move in opposite directions. When two of them collide they immediately switch their direction and keep the speed v. What is the maximal number of collisions that can happen? Question 7 Let A be an matris, and I be the identity matrie. For vector x ER, the linear system Ax-4x has a unique solution if and only if is an invertible matrix. Question 8 ENG 84x 50
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