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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 isOption: 1 <img

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

Option: 1

5 !


Option: 2

2 (5!)


Option: 3

7(5 !)


Option: 4

21(5 !)


Answers (1)

best_answer

Letters of the word ENDEANOEL are
3 E \text { 's, } 2 N \text { 's, } 1 D, 1 O, 1 L, 1 A

Letters D, L, Ncan be permuted at first 4 places in \frac{4 !}{2 !} ways and the remaining letters can be permuted \frac{5 !}{3 !} ways.

\therefore \quad  required number of ways  \frac{4 !}{2 !} \times \frac{5 !}{3 !}=2(5 !)

Posted by

Gautam harsolia

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