find the number of words that can be formed out of the letters of the word "ARTICLE" so that the vowels occupy even places ?

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Eti Goyal

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among 7 places, number of even places = 3, number of odd places = 4 given number of vowels =3 (a, e i) . number of consonants = 4 ( r,t, c l) number of ways filling 3 even places with 3 vowels = 3! = 6 and number of ways filling 4 odd places with 4 consonants = 4! = 24 therefore total number of ways...
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among 7 places, number of even places = 3, number of odd places = 4 given number of vowels =3 (a, e i) . number of consonants = 4 ( r,t, c l) number of ways filling 3 even places with 3 vowels = 3! = 6 and number of ways filling 4 odd places with 4 consonants = 4! = 24 therefore total number of ways =( 6).( 24 ) = 144. read less
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4!*3!=144
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