Posted by Diana on .
how many batting lineups of the nine players can be made for a baseball team if the cathcher bats first, the shortstop second and the pitcher last?

math 
MathMate,
If we leave out the catcher, the shortstop and the pitcher, that leaves us with 6 positions to fill.
There will be a choice of 6 people for the first of the 6 position, and 5 for the next, until the last there is one.
How many lineups can you make? 
math 
Anonymous,
720!

math 
candy,
We have then only 6 positions to play with:
6 * 5 * 4 * 3 * 2 * 1 = 6! = 720