document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154161>Question 1154161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A group of 30 people consists of 15 women and 15 men.<BR>\n" );
document.write( "How many ways are there to<BR>\n" );
document.write( "(a) arrange the entire group in a row? (2)<BR>\n" );
document.write( "(b) form a row of 6 people from the men? (2)<BR>\n" );
document.write( "(c) form the group into a row with all the women in front of all the men? (3)<BR>\n" );
document.write( "(d) choose a man and a women from the group? (3)<BR>\n" );
document.write( "(e) choose four women and five men from the group? (3)<BR>\n" );
document.write( "(f) choose 10 people from the group? (3)<BR>\n" );
document.write( "(g) pair the women and men off? (3)<BR>\n" );
document.write( "(h) form 10 pairs from the group? (3)<BR>\n" );
document.write( "(i) divide the group into two groups (group 1 and group 2) of equal size? (3)<BR>\n" );
document.write( "(j) divide the group into 2 equal groups, where each group in its own has as many men as<BR>\n" );
document.write( "women in it? (3)<BR>\n" );
document.write( "(k) divide the groups into two groups of equal size such that group 1 contains at least 4<BR>\n" );
document.write( "men? (3)<BR>\n" );
document.write( "(l) divide the group into two groups, each having size at least one? (3)<BR>\n" );
document.write( "Each of the 30 choose one cooldrink from 10 types:<BR>\n" );
document.write( "(m) How many ways could they do this? (3)<BR>\n" );
document.write( "(n) How many different combinations of cooldrink could be ordered from the cafeteria,<BR>\n" );
document.write( "where you don’t care who gets which but only want to get the number of each type<BR>\n" );
document.write( "correct? (3)<BR>\n" );
document.write( "Given that the group orders<BR>\n" );
document.write( "15 of type 1<BR>\n" );
document.write( "6 of type 2<BR>\n" );
document.write( "3 of type 3<BR>\n" );
document.write( "6 of type 4.<BR>\n" );
document.write( "(o) In how many different ways can I distribute the cooldrinks amongst the 30 people, if I<BR>\n" );
document.write( "do not care who ordered what? (4)<BR>\n" );
document.write( "(p) What is the probability that a random division of the cooldrinks amongst the people<BR>\n" );
document.write( "give each what they ordered? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776532 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=776532\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "It looks like you are an INDUSTRIALIST,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "and your method of work (of study ?) is to use free of charge labor of voluntary tutors at industrial scale . . . \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I used to think that at this forum we do not serve industrialists.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In opposite, we teach students.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Also, there is a rule and a requirement/policy in this forum\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<H3>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;One and ONLY ONE problem/question per post.</H3>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );