Math Problem Statement

In a​ round-robin chess​ tournament, each player is paired with every other player once. The​ function, shown​ below, models the number of chess​ games, N, that must be played in a​ round-robin tournament with t chess players. In a​ round-robin chess​ tournament, 1010 games were played. How many players entered the​ tournament? Upper N equals StartFraction t squared minus t Over 2 EndFraction

Solution

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Algebra

Formulas

N = (t^2 - t) / 2

Theorems

Combinatorial Pairing Formula

Suitable Grade Level

Grades 9-12