Question

Find the number of ways of arranging the letters of the word ${}^{\prime }MATHEMATIC{S}^{\prime }$.

Answer 1

Total no. of letters in word MATHEMATICS is $11$.

And no. of repeating letters are $3$ , i.e; $(2M,2A,2T)$

So, no. of ways of arranging letters is, $\frac{11!}{2!\times 2!\times 2!}=4989600$