Permutation and Combination

Question

How many words can be formed using the word "ARYASTARK" ?

Comments

I got 900 @nitish for second case !

$\frac{5!}{2!*3!} + \frac{5!}{3!} + \frac{5!}{2!*2!} + 2*\frac{5!}{2!} +\ ^6C_5*5! = 900$

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@Ashwin,

$^6C_5*5!\ +\ ^5C_3*\frac{5!}{2!}*2\ +\ ^4C_1*\frac{5!}{2!2!}\ +\ ^5C_2*\frac{5!}{3!}\ +\ \frac{5!}{3!2!}=2250$

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yes @nitish i got same

Answer 1

total words = $\frac{9!}{3!\times 2!}$