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Q.

Let N be the number of words which can be formed using all the letters of the word ‘DARJEELING’ so that are at least two consonants between any two vowels.

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a

 If N is divisible by 2n(nN),  then the sum of all the possible values of n is 21

b

If N is divisible by 6p(pN)  then the sum of all the possible values of p is 6

c

Number of odd divisors of N is 8

d

Number of zeroes the end of N is one

answer is A, B, C, D.

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Detailed Solution

AEEI4V,DRJLING6C

××××××

N=4!2!×6!=12×720=26×33×51

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