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📐 Mathematics  ·  Permutations and Combinations  ·  JEE

nCn =

Answer: 1.

  • A 0
  • B 1
  • C n
  • D n!

Correct answer: B. 1

Explanation: nCn = 1. There is exactly one way to choose all items.

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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