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Out of 10 consonants and 4 vowels, how m...

Out of 10 consonants and 4 vowels, how many words can be formed each containing 3 consonants and 2 vowels ?

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Clearly first we have to select 3 consonants and 2 vowels. Number of ways of selection are `.^(10)C_(3)xx .^(4)C_(2)`
Now number of words =Number of ways of selection `xx` Number of ways of arrangment of selected letters.
`=.^(10)C_(3)xx .^(4)C_(2)xx5!`
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