If the number of all possible permutations of the letters of the word MATHEMATICS  in which the repeated letters are not together is 982(X), then X 

Total number of words  $=\frac{\overline{)11}}{\overline{)2}\overline{)2}\overline{)2}}$

Number of words in which all the letters are repeated together $=\overline{)8}\frac{\overline{)2}}{\overline{)2}}\frac{\overline{)2}}{\overline{)2}}\frac{\overline{)2}}{\overline{)2}}=\overline{)8}$

Required words  $=\frac{\overline{)11}}{\overline{)2}\overline{)2}\overline{)2}}-\overline{)8}$

= 4949280

  982 x = 4949280

 x = 5040