16 players \( \mathrm{P}_{1}, \mathrm{P}_{2}, \mathrm{P}_{3}, \ldot...

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16 players \( \mathrm{P}_{1}, \mathrm{P}_{2}, \mathrm{P}_{3}, \ldots \ldots . \mathrm{P}_{16} \) take part in a tennis tournament. Lower suffix player is better than any higher suffix player. These players are to be divided into 4 groups each comprising of 4 players and the
\( \mathrm{P} \) best from each group is selected for semifinals.

W
Number of ways in which these 16 players can be divided into four equal groups, such that when the best player is selected from each group, \( \mathrm{P}_{6} \) is one among them, is \( (\mathrm{k}) \frac{12 !}{(4 !)^{3}} \). The value of \( \mathrm{k} \) is :
(A) 36
(B) 24
(C) 18
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