got it!
@sagar there shudn be 2's anywhere in the expression.
The different combinations formed on the left hand side by choosing 6 out of
12 will ensure different combinations of other 6 people on the right. So
2*12C6 is not required.
Example:
P1,P3,P5,P7,P9, P11
on left will leave
P2, P4, P6, P8, P10 and P12 on right.
If 2*12C6 is done, this combination is counted again.

Please correct me if i'm wrong.

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