In a tournament each participant should play one game with other Two participants fell ill after pla...........

Quantitative Aptitude ( CCS) Permutation & Combination

In a tournament, each participant should play one game with other .Two participants fell ill after playing 3 games.each. If total games played is 84, the no. of participants in the tournament is ?

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Explanation:

The two participants played 3 games each and fell ill.
∴ The no. of games played = nC2−[(n−1)+(n−1)−1]+6=84 (given)
⇒n(n−1)/2−2n+9=84
⇒n2−5n−150=0
⇒n=15or−10(notpossible)
⇒n=15