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  • The number of words that can be formed by using the letters of the word MATHEMATICS that start as well as end with <img alt="\mathrm{T}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmath

The number of words that can be formed by using the letters of the word MATHEMATICS that start as well as end with \mathrm{T} is

Option: 1

 80720


Option: 2

90720


Option: 3

20860


Option: 4

37528


Answers (1)

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The word MATHEMATICS contains 11 letters viz. M, M, A, A T, T, H, E, I, C, S. The number of words that begin with \mathrm{T} and end with \mathrm{T} is

\mathrm{\frac{9 !}{2 ! 2 !}=90720}.

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