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Find the Number of Words Formed by Permuting All the Letters of the Following Words:Constantinople - Mathematics

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प्रश्न

Find the number of words formed by permuting all the letters of the following words:
CONSTANTINOPLE

उत्तर

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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Factorial N (N!) Permutations and Combinations
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 16: Permutations - Exercise 16.5 [पृष्ठ ४२]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 16 Permutations
Exercise 16.5 | Q 1.9 | पृष्ठ ४२

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