Question

The number of words that can be formed by using the letters of the word MATHEMATICS that start as well as end with T are

• A. $80720$
• B. $90720$
• C. $20860$
• D. $37528$

Answer 1

The correct option is B $90720$

T

T

Total number of letters in the word "MATHEMATICS" is $11$

and there are $2$ T's, $2$ A's and $2$ M's

Since T is fixed at starting and at the ending,

So number of required arrangements $=\frac{9!}{2!2!}=90720$