document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201443>Question 1201443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck.\r<BR>\n" );
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document.write( "How many hands contain 4 jacks? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #835862 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=835862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "The tutor @math_helper has provided a great solution.\r<BR>\n" );
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document.write( "I'll mention a slightly different pathway.\r<BR>\n" );
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document.write( "We can use the nCr combination formula<ul><li>x = 4C4 = 1 way to select the four jacks in any order.</li><li>y = 48C1 = 48 ways to select the fifth non-jack card</li></ul>x*y = 1*48 = <font color=red size=4>48</font> different five-card hands that consist of all four jacks.\r<BR>\n" );
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document.write( "A few references about the nCr formula<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://mathworld.wolfram.com/Combination.html\">https://mathworld.wolfram.com/Combination.html</a><BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.mathsisfun.com/combinatorics/combinations-permutations.html\">https://www.mathsisfun.com/combinatorics/combinations-permutations.html</a><BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.calculatorsoup.com/calculators/discretemathematics/combinations.php\">https://www.calculatorsoup.com/calculators/discretemathematics/combinations.php</a>\r<BR>\n" );
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document.write( "Here is another question about card hands<BR>\n" );
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