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2016 AMC 10B Problem 22

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2016 AMC 10B Problem 22AMC 10 Step by Step

Name: Date: September 13, 2026

Games & Processes · difficulty 4 of 5 · about 6 min · position P21-25

A set of teams held a round-robin tournament in which every team played every other team exactly once. Every team won $10$ games and lost $10$ games; there were no ties. How many sets of three teams $\{A, B, C\}$ were there in which $A$ beat $B$ , $B$ beat $C$ , and $C$ beat $A?$

A)
$385$
B)
$665$
C)
$945$
D)
$1140$
E)
$1330$

2016 AMC 10B Problem 22

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