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IMAS 2021–2022 Junior — Round 1 Question 19

IMAS · IMAS 2021–2022 Junior — Round 1

Question 19

There are ten tokens, 3 black and 7 white, are to be randomly placed into each of the unit squares of a $2\times5$ board, where each unit square can only fit exactly one token. How many ways are there to place the tokens such that no two black tokens are adjacent to each other?
  1. 30
  2. 36
  3. 38
  4. 40
  5. 60