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📐 Mathematics  ·  Permutations and Combinations  ·  JEE

nPr represents:

Answer: Number of arrangements of r from n distinct objects.

  • A Number of unordered selections of r items from n
  • B Number of arrangements of r from n distinct objects
  • C The product of n and r counted as a count
  • D Sum of n and r treated as a combination count

Correct answer: B. Number of arrangements of r from n distinct objects

Explanation: nPr = n!/(n-r)! counts ordered arrangements (permutations) of r items from n distinct 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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