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Consider all possible permutations of th...

Consider all possible permutations of the letters of the word ENDEANOEL. Match the statements/ expressions in column I with the statement/expressions in

Text Solution

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The correct Answer is:
A, B, C, D
`(A)to(p),(B)to(s),(C)to(q),(D)to(q)`
(A) ENDEA, N,O,E,L are five different letters, then perrmutations=5!.
(B) if E is in the first and last position, then permutations
`=(7!)/(2!)=(7xx6xx5!)/(2)=21xx5!`
(C) for first four letters`=(4!)/(2!)=4xx3=12` and for last five
letters`=(5!)/(3!)=(5!)/(6)`, then permutations `=12xx(4!)/(2!)=12`, then permutations `=(5!)/(3!)xx12=(5!)/(6)xx12=2xx5!`
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