GATE (GA) Textile 2015 Question Paper Solution | GATE/2015/GA/05

Question 05 (General Aptitude)

Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to complete the league round of matches.

(A)	20
(B)	10
(C)	8
(D)	5

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Total no. of matches to complete the league round of matches= $\frac{5!}{2!\times3!}$
Total no. of matches t complete the league round of matches= $\frac{5\times 4\times 3\times 2\times 1}{2\times1 \times 3\times 2\times 1}$
Total no. of matches t complete the league round of matches= $\frac{5\times 2}{1}$ =10 (Ans)

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