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AP EAMCET · Maths · Permutation Combination

If all the letters of the word REPEAT are permuted in all possible ways and if the six letter permutations thus formed are arranged in the dictionary order, then the rank of the word REPEAT is

  1. A 133
  2. B 267
  3. C 266
  4. D 132
Verified Solution

Answer & Solution

Correct Answer

(B) 267

Step-by-step Solution

Detailed explanation

On arranging the letters of world REPEAT in alphabetic order, we get AEEPRT. Now, the number of words starts with \(R\). \(=\frac{5 !}{2 !}=60\) The number of words starts with \(E\) \(=5 !=120\) The number words starts with \(P\) \(=\frac{5 !}{2 !}=60\) The number of words…