There are 8 teams in a certain league and each team plays each of the other teams exactly once. if each game is played by 2 teams, what is the total number of games played?
OA is 28
I am not able to understand the explanation given to me in the OG.
The OG has calculated the answer as (8x7)/2.
has the og used some formula to arrive at the answer.
Tho i got the answer through manual counting. can any 1 explain the process used in the OG.
this is nothing but application of direct formulae i.e combination ( if one is aware of this)
the formula is if we are asked to select r items out of n items then we can say nCr=n!/[(n-r)!*(n!)]
now in this q to play a match we need 2(r) teams out of 8(n) teams substituting
we get 8!/[2!*6!]=8*7*6!/[2!*6!]=8*7/2=28
GMAT is not a game for losers , and the moment u decide to appear for it u are no more a loser........ITS A BRAIN GAME