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Q. 16 players $P_1, P_2, P_3, \ldots . P_{16}$ 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 playerts and the best from cach group is selected for semifinals.
Number of ways in which 16 players can be divided into four equal groups, is $K \displaystyle\prod_{r=1}^8(2 r-1)$, where $K$ equals

Permutations and Combinations

Solution:

Correct answer is (a) $\frac{35}{27}$