Solve the Problem $x$ Teams in a Sports League and All the Teams Play

question 84

Multiple Choice

Solve the problem.
-If there are $x$ teams in a sports league and all the teams play each other twice, a total of $N ( x )$ games are played, where $N ( x ) = x ^ { 2 } - x$ . A soccer league has 6 teams, each of which plays the others twice. If the league pays $\$ 49$ per game for the field and officials, how much will it cost to play the entire schedule?

• A) \(\$ 2058\)
• B) \(\$ 1470\)
• C) \(\$ 1764\)
• D) \(\$ 1568\)

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Definitions:

Variance

A measure of the dispersion or spread of a set of data points around their mean value.

Minimin Strategy

A decision rule used in scenarios involving uncertainty, where the decision maker aims to minimize the potential for the worst-case scenario.

Maximum Payoff

The highest possible return that can be achieved from an investment or decision scenario.

Minimum Payoff

The least amount of return or profit one can expect from an investment or decision.