document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1081869>Question 1081869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A football team consists of 19 each freshmen and sophomores, 14 juniors, and 17 seniors. Four players are selected at random to serve as captains. Find the probability that:\r<BR>\n" );
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document.write( "a)all 4 are seniors<BR>\n" );
document.write( "b)There is one of each: freshman, sophomore, junior , and senior<BR>\n" );
document.write( "c)There are 2 sophomores and 2 freshmen <BR>\n" );
document.write( "d)At least one of the students is a senior<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #696101 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=696101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 69C4 are the number of ways (864,501)<BR>\n" );
document.write( "17C4 are all seniors, and probability is 0.0028m dividing 2380 by 864,501.<BR>\n" );
document.write( "one of each is a numerator of 19C1*19C1*14C1*17C1=85918, probability is 0.0994.<BR>\n" );
document.write( "2 sophomores and 2 freshmen are 19C2*19C2=29241 and probability is 0.0338<BR>\n" );
document.write( "at least one is a senior is 1-no seniors, and no seniors has a numerator of 52C4.  That probability is 0.3132.<BR>\n" );
document.write( "Therefore at least one senior is the complement or 0.6868. </SPAN>\n" );
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