The number of ways in which the letters of the word ′MADHURI′ can be arranged so that vowels always occupy the beginning, middle and end places is
A
7!
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B
3⋅4P3
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C
4⋅3P3
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D
3!⋅4!
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Solution
The correct option is D3!⋅4! 3 vowels {A,U,I} can be arranged in 3 places in 3! ways and the remaining paces can be filled by 4 consonants in 4! ways.
So, required of arrangement of the letters of the word ′MADHURI′ are 3!⋅4!