Math, asked by binaburnwal20, 10 months ago

in how many ways can the letters of the word director be arranged so that the three vowels are never together​

Answers

Answered by gourirupa
3

Answer:

Step-by-step explanation:

Let the letters be D , I , R , E , C ,T , O , R

The vowels here are I , E , O .

Total ways of arranging the letters - 8!

No. of ways in which the letters are arranged such that the three vowels are together - 3! * 6!

∴ No. of ways in which the vowels are never together = 8! - (3! * 6!)

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