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Permutation under Restriction

The letters o...

Question

The letters of the word $^{'} N E P A L^{'}$ are arranged in all possible ways.The number of arrangements in which the relative position of vowels and consonants are not changed is

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Solution

$^{'} N E P A L^{'}$
Since, the relative positions of vowels and consonants should not be changed, the vowels and consonants can interchange their places among themself.
$= 3! \times 2! = 12$

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Permutation under Restriction

Standard XIII Mathematics

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