document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=550041>Question 550041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A committee which consists of two mathematicians and three scientists will be formed from four mathematicians and six scientists. How many possible committees can be formed if:<BR>\n" );
document.write( "a. any of the mathematicians and scientists are included?<BR>\n" );
document.write( "b. one particular scientist must be in the committee?<BR>\n" );
document.write( "c. two particular mathematicians must be in the committee?<BR>\n" );
document.write( "d. two particular scientists must not be in the committee?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #358999 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=358999\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A committee which consists of two mathematicians and three scientists will be formed from four mathematicians and six scientists. How many possible committees can be formed if:<BR>\n" );
document.write( "a. any of the mathematicians and scientists are included?<BR>\n" );
document.write( "Ans: 4C2*6C3<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "b. one particular scientist must be in the committee?<BR>\n" );
document.write( "Ans: 1*5C2*4C2 <BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "c. two particular mathematicians must be in the committee?<BR>\n" );
document.write( "Ans: 1*1*6C3<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "d. two particular scientists must not be in the committee?<BR>\n" );
document.write( "ans: 4C2*4C3<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================== <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );