document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=395491>Question 395491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5) A 3 member arts council is to be chosen from 9 students, 6 of whom are female. the positions are president secretary and tresurer. what is the probability that<BR>\n" );
document.write( "A) that committee is all female?<BR>\n" );
document.write( "B) the committee is comprised of the three youngest females<BR>\n" );
document.write( "C) the younest girl is president, second younger is secretary and third youngest is tresurer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281045 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=281045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3 are male and 6 are female student out of 9.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "no. of ways to choose 3 positions out of 9 students = 9P3 = 504\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A) no. of ways to choose 3 positions out of 6 female = 6P3 = 120\r<BR>\n" );
document.write( "\n" );
document.write( "  <BR>\n" );
document.write( " probability of all female members = 120/504 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "B)            <BR>\n" );
document.write( " no. of ways to choose 3 positions out of 3 youngest females = 3P3 = 6\r<BR>\n" );
document.write( "\n" );
document.write( "  probability   =  6/504\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C)no. of ways to choose the youngest girl is president, second younger is secretary and third youngest is treasurer  = 1    \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "probability = 1/504 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );