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Three friends sit in a row of 10 chairs so that no two of them are in neighbouring chairs. In how many ways can they sit?

Competition practicePermutations & Combinations
  • A720
  • B56
  • C336
  • D504

Step-by-Step Solution

Choose 3 chairs with no two adjacent: think of the 7 empty chairs making 8 gaps, choose 3 gaps, . The friends then sit in orders. .
Answer: C) 336

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