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📐 Mathematics  ·  Permutations and Combinations  ·  JEE

Pascal triangle entry in row n, column r is:

Answer: nCr.

  • A nPr
  • B nCr
  • C n!
  • D r!

Correct answer: B. nCr

Explanation: Pascal triangle entries are binomial coefficients nCr. Row n (starting from 0) has entries nC<sub>0</sub>, nC<sub>1</sub>,...,nCn.

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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