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Find the number of 5 letter words that c...

Find the number of 5 letter words that can be formed using the letters of the word 'MIXTURE' which begin with an vowel when repetitions are allowed.

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The word MIXTURE has 7 letters 3 vowels {E, I, U} and 4 consonants {E, M, R, X} we have to fill up 5 blanks.
`square " "square " "square " "square " "square`
Fill the first place with one of the 3 vowels in 3 ways.
Each of the remain 4 places can be filled in 7 ways (since repetition is allowed)
`therefore` The number of 5 letter words
`=3xx7xx7xx7xx7=3xx7^(4)`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PERMUTATIONS AND COMBINATIONS-TAXTUAL EXERCISES
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