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TS EAMCET · Maths · Permutation Combination

The number of different permutations of letters that can be formed by taking 4 letters at a time from the letters of the word 'REPETITION' is

  1. A \(210\)
  2. B \(720\)
  3. C \(1398\)
  4. D \(5040\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(1398\)

Step-by-step Solution

Detailed explanation

In given word REPETITION, the letters \(\mathrm{R}, \mathrm{P}, \mathrm{O}\) and \(\mathrm{N}\) come one time while the letters \(\mathrm{E}, \mathrm{T}\) and \(\mathrm{I}\) come two times. Now, the number of different permutations of letters that can be formed by taking 4…