- #1
Albert1
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- 0
A={0,1,2,3,4,5,--------,99,100}
201 students are attending a math test ,the score of each student can be
found from set A,if S represents the total scores of all 201 students,please answer
the following questions
(1) if S=9999 prove we can find at least 3 students having the same score
(2) if S=10101 prove we can also find at least 3 students having the same score
(3) if S=10000 and it is known no three students having the same score
,then there must have 1 student having score 100,and 2 students with scores 0
(4) if S=10100 and it is known no three students having the same score
,then there must have 1 student having score 0,and 2 students with scores 100
201 students are attending a math test ,the score of each student can be
found from set A,if S represents the total scores of all 201 students,please answer
the following questions
(1) if S=9999 prove we can find at least 3 students having the same score
(2) if S=10101 prove we can also find at least 3 students having the same score
(3) if S=10000 and it is known no three students having the same score
,then there must have 1 student having score 100,and 2 students with scores 0
(4) if S=10100 and it is known no three students having the same score
,then there must have 1 student having score 0,and 2 students with scores 100