SOLUTION: There are 4 infield positions on a baseball team. There are 12 players. How many ways can these players play the 4 positions?

Question 67304This question is from textbook An Incremental Development
: There are 4 infield positions on a baseball team. There are 12 players. How many ways can these players play the 4 positions? This question is from textbook An Incremental Development

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There are 4 infield positions on a baseball team. There are 12 players. How many ways can these players play the 4 positions?
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You need to know how many groups of 4 there are when you have 12 people.
To count groups you need to count combinations.
12C4 = [12*11*10*9]/[1*2*3*4]=495 ways
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Then you need to determine who plays 1st, who plays 2nd, who plays 3rd and
who catches. That requires that you count the permutations in each group.
4P4=4!=4*3*2*1=24
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Total # of ways = 24*495=11,880 ways they can fill the infield positions.
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Cheers,
Stan H.
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