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Find the Number of Words Formed by Permuting All the Letters of the Following Words:Series

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प्रश्न

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

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उत्तर

This word consists of 6 letters that include two Ss and two Es.
The total number of words is the number of arrangements of 6 things, of which 2 are similar to one kind and 2 are similar to the second kind.
⇒\[\frac{6!}{2!2!}\]= 180

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Factorial N (N!) Permutations and Combinations
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अध्याय 16: Permutations - Exercise 16.5 [पृष्ठ ४२]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.5 | Q 1.7 | पृष्ठ ४२

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