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The number of ways of permuting letters of the word ENDEANOEL so that none of the letters D, L,N occurs in the last five positions is

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a
5!
b
2(5!)
c
7(5!)
d
21(5!)

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detailed solution

Correct option is B

Letters of the word ENDEANOEL are3E′s,2N′s,1D,1O,1L,1ALetters D, L, N can be permuted at first 4 places in 4!2! waysand the remaining letters can be permuted 5!3! ways.∴ required number of ways 4!2!×5!3!=2(5!)


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