document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=653377>Question 653377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question: In how many ways can a group of 2 boys and 3 girls be made out of a total of 6 boys and 4 girls? \r<BR>\n" );
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document.write( "Attempt: I started off by looking at the boys seperately, so 6 boys, two spots in the group should be 6P5= 30. Same thing for girls, 4P3=24. My final step was multiplying them together, 30x24 to achieve 720, operating on the principle of fundamental counting. However, I was told this answer of 720 was incorrect. \r<BR>\n" );
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document.write( "Would someone please show me how to do this question? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #408373 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=408373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "I don't know where you got the idea that you needed to use permutations -- If the two boys are Bobby and Billy that would be the same as if they were Billy and Bobby, right?\r<BR>\n" );
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document.write( "You need the number of <b><i>combinations</i></b> of 6 boys taken 2 (NOT 5) at a time times the number of combinations of 4 girls taken 3 at a time.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ {{6}\choose{2}}\ \times\ {{4}\choose{3}}\ =\ \frac{6!}{4!2!}\ \times\ \frac{4!}{3!1!}\ =\ \frac{6\times5}{2}\ \times\ 4\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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