Consider all possible permutations of the letters of the word ENDEANOEL. The number of permutations in which none of the letters D, L and N occurs in the last positions isA. 5!B. `2xx5!`C. `7xx5!`D. `21xx5!`

Consider all possible permutations of the letters of the word ENDEANOE

1.	Consider all possible permutations of the letters of the word ENDEANOEL. The number of permutations in which none of the letters D, L and N occurs in the last positions isA. 5!B. `2xx5!`C. `7xx5!`D. `21xx5!`
Answer» Letters D, L, N, N occur in first four positions in `(4!)/(2!)` ways. Corresponding to each arrangement of D, L, N, N in first positions there are `(5!)/(3!)` arrangement of remaining 5 letters in last five positions. `:.` Required number of permutaions `=(4!)/(2!)xx(5!)/(3!)=2xx5!`

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Consider all possible permutations of the letters of the word ENDEANOEL. The number of permutations in which none of the letters D, L and N occurs in the last positions isA. 5!B. `2xx5!`C. `7xx5!`D. `21xx5!`

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