Question

If we permute 7 letters of the word'justice' in 7! ways.in how many words vowels do not come together

Answer 1

Answer:

720

Explanation:

Vowels come together = (UIE)JSTC Ways = 3!*5! = 720

Answer 2

the number of permutations possible is 4896

Given; we permute 7 letters of the word justice in 7!

To Find; how many words vowels do not come together

Solution; Number of vowels in JUSTICE is UIE

If all vowels do not  occur together then

Number of permutations possible =7!-3!4!=5040--144=4896

Hence the number of permutations possible is 4896

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