8070 /www/nrich/html/content/id/8070/ 1 0000-00-00T00:00:00 <mdoxml version="1.0"><p>Alice, Becky, Charlotte, Daphne, Elsie and Fran decide to hold their own Modern Pentathlon competition. For the fencing segment, each competitor has to play one match against every other competitor. A match results is either a win or a loss. Can you deduce what all of the results were?</p> <p> </p> <ul> <li>No competitor lost all their matches, but one person won all their matches.</li> <li>Daphne won her match against Becky.</li> <li>Alice and Elsie won the same, odd, number of matches, but Alice lost to Elsie.</li> <li>Becky and Fran won a total of seven matches</li> <li>Charlotte won only one game, against the only other person who also won only one game.</li> </ul></mdoxml> 2 3 0 0 1 0 0