Friday Riddle

nudgie
nudgie Member Posts: 1,478 Member
edited March 2014 in Colorectal Cancer #1
At a sports banquet there are one hundred athletes. Each one is either a football or basketball player. At least one is a football player. Given any two of the athletes, at least one is a basketball player. How many of the athletes are football players?

Comments

  • Buzzard
    Buzzard Member Posts: 3,043 Member
    #2
    50 ?
    seems to simple...but, wanted to try anyway.....
  • AnneCan
    AnneCan Member Posts: 3,673 Member
    #3
    My guess is 99 basketball
    My guess is 99 basketball players, because in any pairing there is @ least one, but we know there is @ least 1 football player.
  • PGLGreg
    PGLGreg Member Posts: 731
    #4
    AnneCan said:

    My guess is 99 basketball
    My guess is 99 basketball players, because in any pairing there is @ least one, but we know there is @ least 1 football player.

    yes: one football player
    Because if there were two or more football players, there would be at least one pairing with just two football players and no basketball players, and we are told there is no pair with no basketball players. So the number of football players must be less than two.

    --Greg

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