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The least positive integer for which for some positive integer is
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a
2014
b
2013
c
1
d
2
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Correct option is D
We can rewrite the given expression as kn2(n−1)(n+1)(n−2)(n+2)(n−3)(n+3)……….(n+n−1)(n−n+1)=r!⇒kn(1)(2)…(n−1)n(n+1)(n+2)…(2n−1)=r!⇒kn(2n−1)!=r!∴ To convert L.H.S. to a factorial, we shall requirek = 2 which will convert it into (2n)!Similar Questions
Let (where, [ . ] denotes greatest integer function) is equal to
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