document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=419824>Question 419824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I asked for assistance on these problems and got incorrect answers. Please help me find the right answers.\r<BR>\n" );
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document.write( "1. In how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of exactly 3 dogs and 4 cats?<BR>\n" );
document.write( "The answer is not 35.\r<BR>\n" );
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document.write( "2. A survey of 51 pet owners revealed that 24 owned dogs, 28 owned cats, 11 owned turtles, 12 owned both dogs and cats, 7 owned both dogs and turtles, 3 owned both cats and turtles, and 2 owned all three. Find the number of pet owners who owned none of the three lovely animals.<BR>\n" );
document.write( "The answer is not 26.\r<BR>\n" );
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document.write( "3. Suppose one can move only down or to the right. How many of the routes from A to B pass through C?\r<BR>\n" );
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document.write( "There are 5 rows and 7 columns. A is in the upper left corner and B is in the lower right corner. C is located 3 columns over and two rows down starting at A. \r<BR>\n" );
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document.write( "  A[][][][][][][]<BR>\n" );
document.write( "   [][][C][][][][]<BR>\n" );
document.write( "   [][][ ][][][][]<BR>\n" );
document.write( "   [][][ ][][][][]<BR>\n" );
document.write( "   [][][][][][][]B\r<BR>\n" );
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document.write( "I said 5^7 = 78,125 but this was incorrect. Please help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #293494 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=293494\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sorry you got lead astray...\r<BR>\n" );
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document.write( "1.  there are 10C3 ways to select 3 dogs from 10<BR>\n" );
document.write( "___ there are 15C4 ways to select 4 cats from 15<BR>\n" );
document.write( "___ the number of ways to form the committee is the product of the possible numbers of the two groups<BR>\n" );
document.write( "___ 10C3 multiplied by 15C4\r<BR>\n" );
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document.write( "2.  you have to start with ownership of all three and eliminate duplicate ownership<BR>\n" );
document.write( "___ 3 owned c&t , but 2 of those owned all three , so 1 owned only c&t<BR>\n" );
document.write( "___ 7 owned d&t , but 2 of those owned all three , so 5 owned only d&t<BR>\n" );
document.write( "___ 12 owned d&c , but 2 of those owned all three , so 10 owned only d&c<BR>\n" );
document.write( "___ 11 owned t , but 8 owned other pets , so 3 owned only t<BR>\n" );
document.write( "___ 28 owned c , but 13 owned other pets , so 15 owned only c<BR>\n" );
document.write( "___ 24 owned d , but 17 owned other pets , so 7 owned only d<BR>\n" );
document.write( "___ 43 owned one or more pets , so 8 owned none\r<BR>\n" );
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document.write( "3.  C is 3 over and 2 down from A , so there are 5 steps to get there<BR>\n" );
document.write( "___ you can take the steps in any order , but the 3 overs are the same and the 2 downs are the same<BR>\n" );
document.write( "___ the number of different routes from A to C is ___ 5! / [(3!)(2!)] </SPAN>\n" );
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