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Question
Find the number of words formed by permuting all the letters of the following words:
INDEPENDENCE
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Solution
This word consists of 12 letters that include three Ns, two Ds and four Es.
The total number of words is the number of arrangements of 12 things, of which 3 are similar to one kind, 2 are similar to the second kind and 4 are similar to the third kind.
⇒\[\frac{12!}{3!2!4!}\]= 1663200
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