How many different arrangements can be made by using all the letters in the word MATHEMATICS. How many of them begin with C? How many of them begin with T?

Explanation

There are `11` words 2Ms,2As,2Ts,H,E,I,C,S.


(i) Hence the number of words by taking all at a time..


=`(11!)/(2!2!2!)`​

=`990×7×720=990×5040=4989600`.
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