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Question
Find the number of words formed by permuting all the letters of the following words:
CONSTANTINOPLE
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Solution
This word consists of 14 letters that include three Ns, two Os and two Ts.
The total number of words is the number of arrangements of 14 things, of which 3 are similar to one kind, 2 are similar to the second kind and 2 are similar to the third kind.
⇒\[\frac{14!}{3!2!2!} = \frac{14!}{24}\]
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