हिंदी

In How Many Ways Can the Letters of the Word 'Strange' Be Arranged So Thatthe Vowels Never Come Together?

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प्रश्न

In how many ways can the letters of the word 'STRANGE' be arranged so that

the vowels never come together? 

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उत्तर

Total number of words that can be made with the letters of the word STRANGE = 7! = 5040
Number of words in which vowels always come together = 1440
∴ Number of words in which vowels do not come together = 5040\[-\]1440 = 3600

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Factorial N (N!) Permutations and Combinations
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अध्याय 16: Permutations - Exercise 16.4 [पृष्ठ ३६]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.4 | Q 2.2 | पृष्ठ ३६

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