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📐 Mathematics  ·  Permutations and Combinations  ·  JEE

nCr represents:

Answer: Number of ways to select r items from n (order does not matter).

  • A Number of distinct ordered arrangements possible for r items chosen from n
  • B Number of ways to select r items from n (order does not matter)
  • C n raised to the power r, representing repeated outcomes with replacement
  • D The numeric difference n minus r, treated loosely as a selection count

Correct answer: B. Number of ways to select r items from n (order does not matter)

Explanation: nCr = n!/[r!(n-r)!] counts unordered selections (combinations).

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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