# How many arrangements can be made with the letters of the word â€œMATHEMATICSâ€?

There are 11 letters in the word 'MATHEMATICS' . Out of these letters M occurs twice, A occurs twice, T occurs twice and the rest are all different.
Hence, the total number of arrangements of the given letters
$=\frac{11 !}{(2 !) \times(2 !) \times(2 !)}=4989600$

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