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📐 Mathematics  ·  Permutations and Combinations  ·  JEE

5C2 =

Answer: 10.

  • A 10
  • B 20
  • C 15
  • D 5

Correct answer: A. 10

Explanation: 5C2 = 5!/(2! × 3!) = (5×4)/(2×1) = 10.

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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