16 players `P_1,P_2,P_3,.. P_16` take part in a tennis tounament. Lower suffix player is better han any higher suffix player. These players are to be divided into 4 groups each comprising of 4 players and the best from each group is selected for semifinals .Number ways in which 16 players can be divided into four equal groups , is

16 players P_(1),P_(2),P_(3),….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 best from each group is selected to semifinals. Q. Number of ways in which they can be divided into 4 equal groups if the players P_(1),P_(2),P_(3) and P_(4) are in different groups, is:

16 players P_(1),P_(2),P_(3),….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 best from each group is selected to semifinals. Q. 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 P_(6) in one among them is (k)(12!)/((4!)^(3)) the value of k is

16 players P_(1),P_(2),P_(3),….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 best from each group is selected to semifinals. Q. 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 P_(6) in one among them is (k)(12!)/((4!)^(3)) the value of k is

52 cards are to be distributed among 4 players such that 2 players get 12 cards each and other 2 players get 14 cards each,then the number of ways in which this can be done is

Sixteen players P_(1),P_(2),P_(3)….., P_(16) play in tournament. If they grouped into eight pair then the probability that P_(4) and P_(9) are in different groups, is equal to

Sixteen players P_(1),P_(2),P_(3)….., P_(16) play in tournament. If they grouped into eight pair then the probability that P_(4) and P_(9) are in different groups, is equal to

A team of 11 players has to be choosen from the groups consisting of respectively.The number of ways of selecting them so that each selection contains atleast 4 players from the first group is

In a group of 15 boys there are 6 hockey players. In how many ways can 12 boys be selected so as to include at least 4 hockey players?

Eight players P_1, P_2, P_3, ...........P_8 , play a knock out tournament. It is known that whenever the players P_i and P_j , play, the player P_i will win if i lt j . Assuming that the players are paired at random in each round, what is the probability that the players P_4 , reaches the final ?

Eight players P_1, P_2, P_3, ...........P_8 , play a knock out tournament. It is known that whenever the players P_i and P_j , play, the player P_i will win if i lt j . Assuming that the players are paired at random in each round, what is the probability that the players P_4 , reaches the final ?