S1S2S3......S16
are 16 players playing in a tennis tournament
no of ways to form teams for doubles is ___
no of teams in which S1 and S2 are is
a) same team is _______
b) different team is ______
I expect logical/mathematical explanations for all attempts in this thread!
49P.S. - This is for MY revision not anyone else's ... but will be glad if this hlps anyone else too..!!
11S1S2S3......S16
are 16 players playing in a tennis tournament
no of ways to form teams for doubles is
Ans) first two players can be selected from among the 16 players in 16C2 ways, second from remaining 14C2 ways and similarly the rest.........
Dividing it by 8! because here since we are selecting, order of the teams doesn't matter.
So the answer I think is,
(16C2 x 14C2 x 12C2 x 10C2 x 8C2 x 6C2 x 4C2 x 2C2)/ 8! = 2027025
Not sure if its correct or not, I only gave a try.
Edited
11Sorry I need to divide it by 8! because in combination the order does not matter.
71Sum for Subho:
1. In how many ways can a deck of playing cards can be arranged so that no two hearts are adjacent.
One from other topic
2. 25 boys/girls are seated on a round table. Show that both the neighbours of at least one students are both girls. (Lucky he is!!)