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TS EAMCET · Maths · Permutation Combination

If the number of all possible permutations of the letters of the word MATHEMATICS in which the repeated letters are not together is 90X, then X=

  1. A 120
  2. B 14400
  3. C 21600
  4. D 86400
Verified Solution

Answer & Solution

Correct Answer

(A) 120

Step-by-step Solution

Detailed explanation

Given word MATHEMATICS In above word Arranging other than repeated letters H,E,I,C,S is 5×4×3×2×1 =120 In between there will be 6 gaps in that we need to fill this repeated letters i.e.,=6!2×2×2=90. So total possible arrangements is…