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Problem 21 (2023 AMC 8)

AMC 8Normal

From module Counting Fundamentals

Problem

Alina writes the numbers 1,2,,91, 2, \dots, 9 on separate cards, one number per card. She wishes to divide the cards into 33 groups of 33 cards so that the sum of the numbers in each group will be the same. In how many ways can this be done?

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