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Josephcastillo6403
06.11.2019 •
Mathematics
The first international chess tournament was held in london in 1851. this single-elimination tournament (in which paired competitors played matches and only the winner of a match continued to the next round) began with 16 competitors. how many matches were played?
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Ответ:
Total number of matches played were 15
Step-by-step explanation:
Data provided in the question:
Number of competitors = 16
The tournament is a single elimination tournament
paired competitors played matches and only the winner of a match continued to the next round
therefore,
Dividing 16 competitors in pairs, there will be 8 pairs.
as each pair plays 1 match
Thus,
8 matches (a)
Now,
winner of 8 matches will be 8 competitors
Further, dividing the 8 competitors in pairs, there will be 4 pairs.
as each pair plays 1 match
Thus,
4 matches (b)
Further, dividing the 4 competitors in pairs, there will be 2 pairs.
as each pair plays 1 match
Thus,
2 matches (c)
now, the winner of the 2 matches will be 2 competitors,
thus, 1 more match to decide the winner.
thus,
1 match (d)
adding (a), (b), (c) and (d)
we get
8 + 4 + 2 + 1 = 15 matches
Hence,
Total number of matches played were 15
Ответ:
78
Step-by-step explanation:
Pp