1.

In how many ways can the letters of the word FRATION be arranged so that no two vowels are together

Answer»

When vowels are together = 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720 WAYS

When vowels are not together = 40320 ways - 720 ways

When vowels are not together = 39600 ways



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