In how many ways can you arrange the letters | vedclass

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(C) The word "$ATTAIN$" consists of $6$ letters: $A, T, T, A, I, N$. To ensure the $T$'s are together,we treat the pair $(TT)$ as a single unit or blo

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$60$

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(C) The word "$ATTAIN$" consists of $6$ letters: $A, T, T, A, I, N$. To ensure the $T$'s are together,we treat the pair $(TT)$ as a single unit or block. Now,the letters to be arranged are $(TT), A, A, I, N$. This gives us $5$ units in total. Among these $5$ units,the letter $A$ repeats $2$ times. The number of ways to arrange these $5$ units is given by $\frac{5!}{2!} = \frac{120}{2} = 60$. Since the two $T$'s are identical,there is only $1$ way to arrange them within their block. Therefore,the total number of arrangements is $60 	imes 1 = 60$.

In how many ways can you arrange the letters of the word "$ATTAIN$" so that the $T$'s are together?

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