math

The entire second grade at Sunshine Elementary participated in a single elimination checkers tournament. There are a total of 118 second graders and so there were 59 matches in the first round of the tournament. In the second round,the 59 remaining students were paired, resulting in 29 matches: one student received a bye (that is, did not have to play in that round) In the third round, the 30 players remaining were then paired and so on.

a) How many matches in all were required to determine a winner of the tournament?(a match is a single game between two students)

b) How many matches would be required if n students participated in the tournament? Why?

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  1. 100

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