In a football tournament, each team played two matches against each other.if altogether 240 matches we're played . The no. of participants team is (a) 16 (b) 18 (c) 20 (d) non of these.

Please solve this question.

 

Asked by akash980403 | 24th Dec, 2018, 07:09: PM

Expert Answer:

Having a match means selecting 2 teams from available teams
let the no. of participating teams be 'n'
nC2 × 2 = 240..............two games are played between same teams
begin mathsize 18px style fraction numerator straight n factorial over denominator open parentheses straight n minus 2 close parentheses factorial cross times 2 factorial end fraction equals 120
fraction numerator begin display style straight n open parentheses straight n minus 1 close parentheses end style over denominator begin display style 2 factorial end style end fraction equals 120 end style
n = 16 teams

Answered by Arun | 26th Dec, 2018, 10:00: AM

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