document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92263>Question 92263</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me. Please explain the answers/solutions to the following questions thouroughly. thanks\r<BR>\n" );
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document.write( "In how many ways can a committee of six(6) members be selected from ten(8) students, namely, A, B, C, D, E, F, G and H, so that \r<BR>\n" );
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document.write( "a)	at least one of the students A, F, and H will be included in the committee? <BR>\n" );
document.write( "b)	not one of A, F, and H is included in the committee?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67279 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=67279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In how many ways can a committee of six(6) members be selected from ten(10) students, namely, A, B, C, D, E, F, G, H, I,and  J so that <BR>\n" );
document.write( "a) at least one of the students A, F, and H will be included in the committee? <BR>\n" );
document.write( "b) not one of A, F, and H is included in the committee? <BR>\n" );
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document.write( "Prob(at least one of A,F,H is included) + Prob(none of A,F,H is included = 1<BR>\n" );
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document.write( "Prob (none of A,F,H is included) = 7C6/10C6 = 7/210 = 1/30<BR>\n" );
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document.write( "Prob (at least one of A,F,H is included) = 1 - 1/30 = 29/30<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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