The least possible number of matches played when four players are left is 37 matches.
The given parameters;
- total number of players = 117
Let the least possible number of matches played when four players are left = n
Since a player is eliminated after losing 3 matches, we will form our equation as follows;
117 - 1(3n) = 4
117 - 3n = 4
3n = 117 - 4
3n = 113
[tex]n = \frac{113}{3} \\\\n = 37.67 \\\\n \approx 37 \ matches[/tex]
Thus, the least possible number of matches played when four players are left is 37 matches.
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