If the letters of the word "ATTEMPT" are written down at random. The probability that all the T' s come together is

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Number of ways of arranging the words keeping all T' s together is 5 !

Number of ways of arranging the words is

\frac{7!}{3!}

Probability that all the T' s together is

\frac{5!}{\frac{7!}{3!}} = \frac{1}{7}

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