My dad said to "think", but all the thinking is not working right now. I'm having a brain cramp. Help!!!

Roger Craig, during his term as team manager of the San Francisco Giants, received a strange communication from the team general manager, Al Rosen. Mr. Rosen told him to select 25 players according to this formula: 1/2 of the team had to be outfielders and infielders 1/4 of the team had to be starting pitchers 1/6 of the team had to be relief pitchers 1/8 of the team had to be catchers Roger was a bit confused by Al's request, yet complied anyway. How did he do it?

Thank you -- Korbin

Hi Korbin,

This is an enigma. 25 doesn't have integer half, quarter, sixth and eight, so that the solution would involve fractions of players pasted together as some kind of frankenstein. Second, 1/2 + 1/4 + 1/6 + 1/8 > 1, so there is no way to comply.
   One way to get around this is to pretend that the manager should also include himself in the team, so that there are 24 left to choose. 24 has halfs, quarters, sixths and eights, and then surprise!

Cheers,
Claude