look at the pattern.
Two teams A, B
one game: C(2,2) = 1 ---> from 2 choose 2 for a game
AB
Three teams A,B,C
AB, AC, BC --- three games , C(3,2) --> from 3 choose 2 for a game
Four teams A,B,C,D
AB, AC, AD, BC, BD, CD - 6 games, C(4,2) ---> from 4 choose 2
...
n teams ---- C(n,2) , from n choose two
C(n,2) = n!/(2!(n-2)!)
= n(n-1)(n-2)(n-3)!/(2(n-2)(n-3)!_
= n(n-1)/2
How many league matches were played, write an algebraic expression to
denote the number of
league matches between the teams, if the number of teams is n.
2 answers
And now "Sweety" or whatever s/he is called is banned for posting filth.
1 answer