Sixteen players `S_(1)`, `S_(2)`, `S_(3)`,…,`S_(16)` play in a tournament. Number of ways in which they can be grouped into eight pairs so that `S_(1)` and `S_(2)` are in different groups, is equal to

A. `((14)!)/(2^(6)*6!)`

B. `((15)!)/(2^(7)*7!)`

C. `((14)!)/(2^(7)*6!)`

D. `((14)!)/(2^(6)*7!)`