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In-how-many-ways-can-the-letters-of-the-word-LEVITATE-be-arranged-if-the-vowels-must-not-be-next-to-each-other-

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Question Number 118822 by Don08q last updated on 20/Oct/20
In how many ways can the letters of the word LEVITATE be arranged if the vowels must not be next to each other
InhowmanywayscanthelettersofthewordLEVITATEbearrangedifthevowelsmustnotbenexttoeachother
Answered by benjo_mathlover last updated on 20/Oct/20
vowels : A,I,E ,E □■□■□■□■□ = ((4!)/(2!))×((4!)/(2!))× ((5),(4) ) = 144×5=720 ■=vowels □=consonant
vowels:A,I,E,E◻◼◻◼◻◼◻◼◻=4!2!×4!2!×(54)=144×5=720◼=vowels◻=consonant
Answered by mr W last updated on 20/Oct/20
□■□■□■□■ ■□□■□■□■ ■□■□□■□■ ■□■□■□□■ ■□■□■□■□ ⇒5×((4!)/(2!))×((4!)/(2!))=720
◻◼◻◼◻◼◻◼◼◻◻◼◻◼◻◼◼◻◼◻◻◼◻◼◼◻◼◻◼◻◻◼◼◻◼◻◼◻◼◻⇒5×4!2!×4!2!=720

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