In how many ways can the letters of the word EXCAVATING be rearranged such that the relative position of the vowels and consonants remain the same?

8640

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3600

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7200

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8400

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9600

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Solution

The correct option is A
8640

The number of ways that can be done = 6! $\times \frac{4!}{2}$ = 8640

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In how many ways can the letters of the word EXCAVATING be rearranged such that the relative position of the vowels and consonants remain the same?

The correct option is A 8640 The number of ways that can be done = 6! ×4!2 = 8640

The correct option is A
8640

The number of ways that can be done = 6! $\times \frac{4!}{2}$ = 8640