Question 1077484
3 ways to choose a catcher
9 ways to choose a pitcher
6C4 ways to choose an infielder.  I erred here the first time. 6C4=6*5/2=15
7C3 ways to choose an outfielder, which is 7*6*5*4!/4!3!, and that is 35 ways
So it is 3*9*15*35=14,175.
I erred in that there are 6 infielders that have to be used to fill 4 positions and 7 outfielders that have to be used to fill 3 positions.  The first two are straight multiplication.