Let the eleven letters \[A,B\].....,K denote an arbitrary permutation of the integers (1, 2,.....11), then \[(A-1)(B-2)(C-3).....(K-11)\] [Orissa JEE 2005]

Let the eleven letters \[A,B\].....,K denote an arbitrary permutation

1.	Let the eleven letters \[A,B\].....,K denote an arbitrary permutation of the integers (1, 2,.....11), then \[(A-1)(B-2)(C-3).....(K-11)\] [Orissa JEE 2005]
A.	Necessarily zero
B.	Always odd
C.	Always even
D.	None of these
Answer» D. None of these

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Let the eleven letters \[A,B\].....,K denote an arbitrary permutation of the integers (1, 2,.....11), then \[(A-1)(B-2)(C-3).....(K-11)\] [Orissa JEE 2005]

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