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Permutation under Restriction

How many word...

Question

How many words can be formed without changing the relative order of the vowels and consonants of the word “PATALIPUTRA”.

A

3600

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B

3300

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C

6300

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D

None of these

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Solution

The correct option is A 3600
Required number
$= \frac{6!}{2! 2!} \times \frac{5!}{3!} = 3600$

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