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Seattle版 - mathscounts 数学题求助(10)--many thanks!
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发帖数: 1320
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1.At Marsh Mel Low Middle School 34 students play soccer, 36 students play
football and 29 students play basketball. Of these students 15 play both
soccer and football, 18 play both basketball and football and 13 play both
soccer and basketball. What is the smallest possible number of students
thatplay all three sports?
2. If x and y are two triangular numbers less than 100 that when added,
produce a sum that is a square number, what is the largest possible value of
x or y?
3. Suppose that six brothers (George, John, Thomas, Fred, Andrew, Martin)
each roll a fair 6-sided die. At least three of them have rolled an even
number. What is the probability that John, Fred and Martin have each rolled
an even number? Express your answer as a common fraction.
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