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In a football championship, 153 matches were played. Every two teams played one match with each other. The number of teams, participating in the championship is …….. .A. 21B. 18C. 17D. 15 |
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Answer» Correct Answer - B Let total no. of team participated in a championship ben. Since, every team played one match with each other team. `:. .^(n)C_(2) = 153 rArr (n!)/(2!(n -2)!) = 153` `rArr (n(n-1)(n-2)!)/(2!(n-2)!) = 153 rArr (n(n-1))/(2) = 153` `rArr n(n-1) = 306` `rArr n^(2) - n - 306 = 0` `rArr n (n -18) + 17 (n -18) = 0` `rArr n = 18, -17` n cannot be negative `:. n != - 17` `rArr n = 18` |
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