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

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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? 

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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 16: Permutations - Exercise 16.4 [पृष्ठ ३६]

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

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