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📐 Mathematics  ·  Permutations and Combinations  ·  JEE

How many ways can 3 people sit in a row of 5 seats?

Answer: 60.

  • A 10
  • B 15
  • C 60
  • D 120

Correct answer: C. 60

Explanation: 5P3 = 5!/(5-3)! = 5×4×3 = 60.

StartABCBCACAB6 ordered outcomes (permutations); pairing AB/BA etc gives 3 combinations

Counting tree for selecting 2 items from {A, B, C} without repetition: 3 x 2 = 6 ordered arrangements.

Concept context

Counting, arrangements, and selections

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