In how many words can be formed from the letters of the word euation without changing the relative order of vowels and cconsonants
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Similar to the question, we can solve for the word 'EXAMINATION'
Word EXAMINATION has 6 vowels (1 'E', 2 'A', 2 'I', 'O')
and 5 consonants (1 'X', 1 'M', 2 'N', 1 'T')
position of vowels and consonants cannot be changed
6 vowels can be arranged in 6!2!×2!=1806!2!×2!=180
5 consonants can be arranged in 5!2!=605!2!=60
Total number of ways = 180 × 60 = 10800
Word EXAMINATION has 6 vowels (1 'E', 2 'A', 2 'I', 'O')
and 5 consonants (1 'X', 1 'M', 2 'N', 1 'T')
position of vowels and consonants cannot be changed
6 vowels can be arranged in 6!2!×2!=1806!2!×2!=180
5 consonants can be arranged in 5!2!=605!2!=60
Total number of ways = 180 × 60 = 10800
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