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📐 Mathematics  ·  Permutations and Combinations  ·  JEE

Words from BOOK (all permutations):

Answer: 12 (O repeated twice).

  • A 12, from treating BOOK as having all distinct letters
  • B 24, computed as 4! without adjusting for the repeated letter
  • C 12 (O repeated twice)
  • D 4, counting only the distinct letters B, O, K

Correct answer: C. 12 (O repeated twice)

Explanation: BOOK: 4 letters with O repeated twice. 4!/2! = 12.

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

Read the full Permutations and Combinations notes →