SOLUTION: there are 100 students at a sports award dinner where soccer players and volleyball players are being honored. given any two players at least one is a soccer player. if there is at
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Question 1118644: there are 100 students at a sports award dinner where soccer players and volleyball players are being honored. given any two players at least one is a soccer player. if there is at least one volleyball player, how many soccer players are there Answer by ikleyn(52884) (Show Source):
You can put this solution on YOUR website! .
there are 100 students at a sports award dinner where soccer players and volleyball players are being honored.
Given any two players at least one is a soccer player.
If there is at least one volleyball player, how many soccer players are there.
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Notice that I edited your post to make the formulation sensible and correct.
My editing is in red.
Answer. There are 99 soccer players at the dinner.
Solution
It follows from the condition, that there is ONE and only ONE volleyball player at the dinner.
Indeed, had there were two or more volleyball players at the dinner, they would make a pair of two volleyball players - the pair
with NO soccer players, which contradicts to the condition.
It gives the answer.
