document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=604911>Question 604911</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jace's collection of sports cards includes ten baseball, seven basketball, and nine football cards. He wants to give away two cards from different sports to his friend for a birthday present. How many ways can he choose the two cards?\r<BR>\n" );
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document.write( "I have tried 26P2 and 26C2 but I am not sure if any of these are right. I have also tried 26!/10!7!9!\r<BR>\n" );
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document.write( "I am not sure if I am working this problem out right. Please help my understand how this problem is worked out. \r<BR>\n" );
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document.write( "Thank you so much for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #381484 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=381484\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the counting principle. \r<BR>\n" );
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document.write( "Say the two cards are a baseball and a basketball card. So there are 10*7 = 70 ways to give these two cards out.\r<BR>\n" );
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document.write( "OR\r<BR>\n" );
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document.write( "Say the two cards are a baseball and a football card. So there are 10*9 = 90 ways to give these two cards out.\r<BR>\n" );
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document.write( "OR\r<BR>\n" );
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document.write( "Say the two cards are a basketball and a football card. So there are 7*9 = 63 ways to give these two cards out.\r<BR>\n" );
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document.write( "Now add up the number of ways: 70+90+63 = 223\r<BR>\n" );
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document.write( "So there are 223 ways to hand out 2 cards where the cards are from different sports. </SPAN>\n" );
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