document.write( "Question 1143352: How many ways are there to put 6 balls in 3 boxes if the balls are not distinguishable but the boxes are? \n" ); document.write( "

Algebra.Com's Answer #764137 by josmiceli(19441) $\"\"$ $\"About$

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The first box can have 1, 2, 3, or 4 balls. It can't have 5 balls
\n" ); document.write( "because that would leave only 1 and a box is empty.
\n" ); document.write( "----------------------------------------------------------
\n" ); document.write( "1 in 1st box:
\n" ); document.write( "4, 1 ( other boxes )
\n" ); document.write( "1, 4
\n" ); document.write( "2, 3
\n" ); document.write( "3, 2
\n" ); document.write( "---------------
\n" ); document.write( "2 in 1st box:
\n" ); document.write( "3, 1 ( other boxes )
\n" ); document.write( "1, 3
\n" ); document.write( "2, 2
\n" ); document.write( "---------------
\n" ); document.write( "3 in 1st box:
\n" ); document.write( "2, 1 ( other boxes )
\n" ); document.write( "1, 2
\n" ); document.write( "---------------
\n" ); document.write( "4 in 1st box:
\n" ); document.write( "1, 1 ( other boxes )
\n" ); document.write( "---------------
\n" ); document.write( "I count 10 ways. I don't know how to express
\n" ); document.write( "this analytically. Feel free to get another opinion. \n" ); document.write( "

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