The number of words that can be formed by using the letters of the word $M A T H E M A T I C S$ that start as well as end with $T$ are

80720

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90720

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20860

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37528

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Solution

The correct option is B $90720$
The total number of words in $M A T H E M A T I C S$ is $11.$ But, first
and last letter of the word should be T. So, there are $9$
remaining letter which can be arranged in $= \frac{9!}{2! \times 2!} = 90720$

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