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Col A says that at least one person receives at least $3. If this number was less than the total number of ways of distribution, then there would be some ways in which no person receives $3 or more, right? Try finding such a way. At the most, each person can have $2 then. But there is no way you can distribute $7 in this manner, without giving $3 to one person. Hence, col A and col B are equal. If you have studied statistics, you will recognize this as an application of the pigeonhole principle.
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