document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194951>Question 1194951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this Basic Counting Principle problem:<BR>\n" );
document.write( "Consider the following.\r<BR>\n" );
document.write( "\n" );
document.write( "(a) In how many different ways can a player select a club and a diamond from a deck of 52 bridge cards?<BR>\n" );
document.write( " ways\r<BR>\n" );
document.write( "\n" );
document.write( "(b) In how many different ways can a player select one card of each suit from a bridge deck?<BR>\n" );
document.write( " ways </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #827269 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=827269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Neither problem is clearly defined.  I will assume....<br><BR>\n" );
document.write( "(1) without replacement<BR>\n" );
document.write( "(2) order does not matter<br><BR>\n" );
document.write( "(a) a club and a diamond<br><BR>\n" );
document.write( "On the first draw, there are 52 cards to choose from, of which 26 are okay (13 clubs and 13 diamonds).  P = 26/52 = 1/2.<br><BR>\n" );
document.write( "On the second draw, there are 51 cards remaining, of which 13 are okay (the 13 of the suit that was not drawn on the first draw).  P = 13/51.<br><BR>\n" );
document.write( "ANSWER: (1/2)(13/51) = 13/102<br><BR>\n" );
document.write( "(b) one card of each suit<br><BR>\n" );
document.write( "1st draw: 52 cards; can choose any.  P = 52/52 = 1<BR>\n" );
document.write( "2nd draw: 51 cards remaining; can choose any of the 39 in the 3 remaining suits.  P = 39/51 = 13/17<BR>\n" );
document.write( "3rd draw: 50 cards remaining; can choose any of the 26 cards in the 2 remaining suits.  P = 26/50 = 13/25<BR>\n" );
document.write( "4th draw: 49 cards remaining; must choose one of the 13 cards in the last remaining suit.  P = 13/49<br><BR>\n" );
document.write( "ANSWER: (1)(13/17)(13/25)(13/49)<br><BR>\n" );
document.write( "Use a calculator and express the result in the desired/required form.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );