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If letters of the word “THING” are arran...

If letters of the word “THING” are arranged in all possible manner and words thus formed are written in dictionary order. If K is the number of words lying between “NIGHT” and “THING” (both exclusive) in that dictionary, then:

A

Number of zeros at the end of K! is 4

B

Number of divisors of K is 6

C

Number of integral coordinates (both abacissa and ordinate integer) lying strictly inside triangle formed by y=0, x=0, x+y=K is 171

D

K does not divide number of words in that dictionary

Text Solution

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The correct Answer is:
A, B, C
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