document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1149517>Question 1149517</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 9 different pies are to be divided between 3 people so that each person gets an odd number of pies. Find the number of ways this can be done </SPAN>\n" );
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document.write( "If each gets an odd number of pies, then the numbers of pies are either 1, 3, and 5 (in some order); or 3, 3, and 3.<br><BR>\n" );
document.write( "Give each of the three people his allotment of pies, one person at a time.<br><BR>\n" );
document.write( "(1) First person gets 5 of the 9; second gets 3 of the remaining 4; third gets 1 of the remaining 1.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%289%2C5%29%2AC%284%2C3%29%2AC%281%2C1%29+=+126%2A4%2A1 ALIGN=MIDDLE  ALT=\"C%289%2C5%29%2AC%284%2C3%29%2AC%281%2C1%29+=+126%2A4%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 504 ways<BR>\n" );
document.write( "(2) First person gets 5 of the 9; second gets 1 of the remaining 4; third gets 3 of the remaining 3.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%289%2C5%29%2AC%284%2C1%29%2AC%283%2C3%29+=+126%2A4%2A1 ALIGN=MIDDLE  ALT=\"C%289%2C5%29%2AC%284%2C1%29%2AC%283%2C3%29+=+126%2A4%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 504 ways<BR>\n" );
document.write( "(3) First person gets 3 of the 9; second gets 5 of the remaining 6; third gets 1 of the remaining 1.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%289%2C3%29%2AC%286%2C5%29%2AC%281%2C1%29+=+84%2A6%2A1 ALIGN=MIDDLE  ALT=\"C%289%2C3%29%2AC%286%2C5%29%2AC%281%2C1%29+=+84%2A6%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 504 ways<BR>\n" );
document.write( "(4) First person gets 3 of the 9; second gets 3 of the remaining 6; third gets 3 of the remaining 3.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%289%2C3%29%2AC%286%2C3%29%2AC%283%2C3%29+=+84%2A20%2A1 ALIGN=MIDDLE  ALT=\"C%289%2C3%29%2AC%286%2C3%29%2AC%283%2C3%29+=+84%2A20%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 1680 ways<BR>\n" );
document.write( "(5) First person gets 3 of the 9; second gets 1 of the remaining 6; third gets 5 of the remaining 5.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%289%2C3%29%2AC%286%2C1%29%2AC%285%2C5%29+=+84%2A6%2A1 ALIGN=MIDDLE  ALT=\"C%289%2C3%29%2AC%286%2C1%29%2AC%285%2C5%29+=+84%2A6%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 504 ways<BR>\n" );
document.write( "(6) First person gets 1 of the 9; second gets 5 of the remaining 8; third gets 3 of the remaining 3.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%289%2C1%29%2AC%288%2C5%29%2AC%283%2C3%29+=+9%2A56%2A1 ALIGN=MIDDLE  ALT=\"C%289%2C1%29%2AC%288%2C5%29%2AC%283%2C3%29+=+9%2A56%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 504 ways<BR>\n" );
document.write( "(7) First person gets 1 of the 9; second gets 3 of the remaining 8; third gets 5 of the remaining 5.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%289%2C1%29%2AC%288%2C3%29%2AC%285%2C5%29+=+9%2A56%2A1 ALIGN=MIDDLE  ALT=\"C%289%2C1%29%2AC%288%2C3%29%2AC%285%2C5%29+=+9%2A56%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 504 ways<br><BR>\n" );
document.write( "TOTAL: 1680+6(504) = 4704 ways<br>\r<BR>\n" );
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