document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206977>Question 1206977</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To win a play-off championship, a team mast win the best out of five games. Whichever team wins three games first wins the series. In how many different ways can a team win the play-off? For the baseball World Series, a team must win four out of seven games. In how many ways can a team win the World Series?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844734 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52792)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=844734\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "(1) To win a play-off championship, a team mast win the best out of five games. <BR>\n" );
document.write( "Whichever team wins three games first wins the series. In how many different ways can a team win the play-off? <BR>\n" );
document.write( "(2) For the baseball World Series, a team must win four out of seven games. In how many ways can a team win the World Series? <BR>\n" );
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document.write( "Can you clarify please what does it mean\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\" . . . win the best out of five games\" ?\r<BR>\n" );
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document.write( "Also, do not pack more than one problem per post.\r<BR>\n" );
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document.write( "It is the rule and the policy of this forum  (and of any other forum providing Math help).\r<BR>\n" );
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document.write( "By violating the rules, you work against your own interests.\r<BR>\n" );
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document.write( "<U>Comment from student</U>: The best out of five games means three games. Do I need to resubmit the question? <BR>\n" );
document.write( "I'm sorry it was a word problem all together so I sent it all.\r<BR>\n" );
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document.write( "<U>My response</U>. \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Problem (1)\r<BR>\n" );
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document.write( "So, &nbsp;according to your comment, &nbsp;the problem says that <BR>\n" );
document.write( "to win a play-off championship, &nbsp;the team must win &nbsp;3 of &nbsp;5 games.\r<BR>\n" );
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document.write( "3 &nbsp;items can be chosen from &nbsp;5 items in  &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B5%5D%5E3 ALIGN=MIDDLE  ALT=\"C%5B5%5D%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%21%2F3%21 ALIGN=MIDDLE  ALT=\"5%21%2F3%21\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2A4%29%2F%281%2A2%29 ALIGN=MIDDLE  ALT=\"%285%2A4%29%2F%281%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10 &nbsp;different ways.\r<BR>\n" );
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document.write( "It is the &nbsp;<U>ANSWER</U> &nbsp;to problem &nbsp;1.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Problem 2\r<BR>\n" );
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document.write( "This problem asks in how many way 4 items can be chosen from 7 items (without looking the order).\r<BR>\n" );
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document.write( "It is about &nbsp;COMBINATIONS, &nbsp;and the &nbsp;<U>ANSWER</U> &nbsp;is\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;in  &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B7%5D%5E4 ALIGN=MIDDLE  ALT=\"C%5B7%5D%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%21%2F4%21 ALIGN=MIDDLE  ALT=\"7%21%2F4%21\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2A6%2A5%29%2F%281%2A2%2A3%29 ALIGN=MIDDLE  ALT=\"%287%2A6%2A5%29%2F%281%2A2%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 35 &nbsp;&nbsp;different ways.\r<BR>\n" );
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document.write( "Both these problems are on COMBINATIONS.\r<BR>\n" );
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document.write( "Since you got these problems, it is assumed that you have basic knowledge on combinations from your teacher/professor<BR>\n" );
document.write( "and/or from your textbook as a pre-requisite.\r<BR>\n" );
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document.write( "If not, then read these introductory lessons on combinations\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/Introduction-to-Combinations-.lesson>Introduction to Combinations</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/PROOF-of-the-formula-on-the-number-of-combinations.lesson>PROOF of the formula on the number of Combinations</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/Problems-on-Combinations.lesson>Problems on Combinations</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "In the future, &nbsp;if you have several word problems on the list, &nbsp;separate them and submit &nbsp;\" one problem per post \".\r<BR>\n" );
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