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2023 AMC 8 Question 21

AMC8 · 2023 AMC 8

Question 21

Alina writes the numbers $1,$ $2,$ $\cdots,$ $9$ on separate cards, one number per card. She wishes to divide the cards into $3$ groups of $3$ cards so that the sum of the numbers in each group will be the same. In how many ways can this be done?
  1. $0$
  2. $1$
  3. $2$
  4. $3$
  5. $4$