The minimum number of integers that must be picked to be sure that at least four of them have the same remainder when divided by 7 is 8.
It should be noted that that when you divide a number by 7, there are 7 possible remainders which are 0, 1, 2, 3, 4, 5, 6, and 7.
Therefore, when we select a number and divide by 7, there is a possibility that the number will be 0 less than or equal to the remainder which is less than or equal to 7.
In this case, we'll pick 8 integers to be sure that at least 4 will have same remainder.
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