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 $90720$

The total number of words in $MATHEMATICS$ is $11.$ But, first
and last letter of the word should be T. So, there are $9$
remaining letter which can be arranged in $=\frac{9!}{2!\times 2!}=90720$