The Cancer Survivors Network (CSN) is a peer support community for cancer patients, survivors, caregivers, families, and friends! CSN is a safe place to connect with others who share your interests and experiences.

Friday Riddle

nudgie
nudgie CSN 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?
Like Care

Comments

  • Buzzard
    Buzzard CSN Member Posts: 3,043 Member
    #2
    50 ?
    seems to simple...but, wanted to try anyway.....
    Like Care
  • AnneCan
    AnneCan CSN 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.
    Like Care
  • PGLGreg
    PGLGreg CSN 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
    Like Care

Discussion Boards