All possible permutations of the letters of the word ENDEANOEL if A, E, O occur only in odd positions isA. 5!B. `2xx5!`C. `7xx5!`D. `21xx5!`

All possible permutations of the letters of the word ENDEANOEL if A, E

1.	All possible permutations of the letters of the word ENDEANOEL if A, E, O occur only in odd positions isA. 5!B. `2xx5!`C. `7xx5!`D. `21xx5!`
Answer» There five odd and 4 even positions. Five odd posittions can be filled with A, E, E, E, O in `(5!)/(3!)` ways and four even positions can be filled with D, N, N L in `(4!)/(2!)` ways. `:.` Required number of permutantions `=(5!)/(3!)xx(4!)/(2!)=2xx5!`

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All possible permutations of the letters of the word ENDEANOEL if A, E, O occur only in odd positions isA. 5!B. `2xx5!`C. `7xx5!`D. `21xx5!`

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