Suppose we have a set A such that it consists of numbers ranging from 1 to...
Suppose we have a set A such that it consists of numbers ranging from 1 to 203, inclusive. We randomly choose four numbers from set A. What is the probability that some pair of these numbers have a difference that is a multiple of 3?
Homework Answers
The probability that some pair of these numbers have a difference that is a multiple of 3 is 1
Explanation:
There are only 3 possible remainders after division by 3, so by the pigeonhole principle, 2 of our 4 numbers have the same remainder. Thus, their difference is a multiple of 3.
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