document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1021686>Question 1021686</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The table below shows the grade-level distribution for the school basketball team.\r<BR>\n" );
document.write( "\n" );
document.write( "freshman-2<BR>\n" );
document.write( "sophomore-4<BR>\n" );
document.write( "junior-8<BR>\n" );
document.write( "senior-15<BR>\n" );
document.write( "A local television station wants to interview 8 students from the team. How many different ways can exactly 4 seniors and 4 juniors be selected for the interview? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #637445 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=637445\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
document.write( "Question:<BR>\n" );
document.write( "The table below shows the grade-level distribution for the school basketball team.<BR>\n" );
document.write( "freshman-2<BR>\n" );
document.write( "sophomore-4<BR>\n" );
document.write( "junior-8<BR>\n" );
document.write( "senior-15<BR>\n" );
document.write( "A local television station wants to interview 8 students from the team. How many different ways can exactly 4 seniors and 4 juniors be selected for the interview?<BR>\n" );
document.write( " <BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "Here the question is how many different ways can 4 seniors and 4 juniors be selected.  So the freshmen and sophomores don't really count.<BR>\n" );
document.write( "Seniors can be chosen 4 out of 15, so C(15,4) ways.  Juniors can be chosen 4 out of 8, so C(8,4) ways.<BR>\n" );
document.write( "The total number of ways is the product of the two, namely<BR>\n" );
document.write( "= C(15,4)*C(8,4)<BR>\n" );
document.write( "= 15!/(4!11!)*8!/(4!4!)<BR>\n" );
document.write( "= 1365*70<BR>\n" );
document.write( "= 95550 ways </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );