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• 2021 Fall AMC 10B Problems/Problem 10
  ...ow who has the larger number." Alice says, "You do? Is your number prime?" Bob replies, "Yes." Alice says, "In that case, if I multiply your number by <ma Let Alice have the number A, Bob B.
  3 KB (507 words) - 22:55, 9 November 2023
• 2024 AIME I Problems/Problem 3
  ...2024</math> for which there exists a strategy for Bob that guarantees that Bob will win the game regardless of Alice's play. ...if there are <math>1</math>, <math>3</math>, or <math>4</math> coins left. Bob wins if there are <math>2</math> or <math>5</math> coins left.
  10 KB (1,628 words) - 18:50, 7 February 2024
• 2024 AIME II Problems/Problem 6
  ...erty that the maximum element of <math>B</math> belongs to <math>A</math>. Bob's list has 2024 sets. Find the sum of the elements of A. ...integer less than k can be in the set or out. Thus, for the number of sets bob have listed to be 2024, we want to find a sum of unique powers of two that
  2 KB (370 words) - 18:07, 5 March 2024