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In a football championship, there were played 153 matches. Every team played one match with each other. The number of team 8 participating in the championship is
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a
17
b
18
c
9
d
13
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Correct option is B
Let there are n teams.Each team play to every other team in nC2, ways∴nC2=153⇒ n!(n−2)!2!=153⇒ n(n−1)=306⇒ n2−n−306=0⇒(n−18)(n+17)=0⇒ n=18 [∵n is never negative ]Similar Questions
is equal to
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