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📐 Mathematics  ·  Permutations and Combinations  ·  JEE

nC<sub>0</sub> =

Answer: 1.

  • A 0
  • B n
  • C 1
  • D n!

Correct answer: C. 1

Explanation: nC<sub>0</sub> = n!/(0! × n!) = 1. There is exactly one way to choose nothing.

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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