1.

Find the number of ways in which the letters of the word ASSISTANT can be arranged among themselves.

Answer»

In the word ASSISTANT there are 9 letters, of which S appears 3 times, A appears 2 times, T appears 2 times and the rest all are different. Therefore the total number of ways is
\(\frac{9 !}{3! \times 2 ! \times 2 !}\) = 15120.



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