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In how many ways the letters of the word ADVERTISEMENT can be arranged such that vowels always come tog
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Answer:
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Answer:
No.of ways of arrangement = 403200
Explanation:
The given word is, ADVERTISEMENT
The letters of this word can be arranged in which the vowels are come together is as follows,
There are 8 consonants and 5 vowels are there.
No.of ways of arrangement is calculated by Permutation method.
No. Of ways of arrangement= 8!/2! * 5!/3!
2! means letter 'T' repeating 2 times, 3! means letter 'E' repeating 3 times.
Therefore,
No.of ways = 8*7*6*5*4*3!*5*4*3*2!/2!*3!
= 8*7*6*5*4*5*4*3
= 403200
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