document.write( "Question 67304This question is from textbook An Incremental Development
\n" ); document.write( ": There are 4 infield positions on a baseball team. There are 12 players. How many ways can these players play the 4 positions? \n" ); document.write( "

Algebra.Com's Answer #47877 by stanbon(75887) $\"\"$ $\"About$

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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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\n" ); document.write( "You need to know how many groups of 4 there are when you have 12 people.
\n" ); document.write( "To count groups you need to count combinations.
\n" ); document.write( "12C4 = [12*11*10*9]/[1*2*3*4]=495 ways
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\n" ); document.write( "Then you need to determine who plays 1st, who plays 2nd, who plays 3rd and
\n" ); document.write( "who catches. That requires that you count the permutations in each group.
\n" ); document.write( "4P4=4!=4*3*2*1=24
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\n" ); document.write( "Total # of ways = 24*495=11,880 ways they can fill the infield positions.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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