document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761460>Question 761460</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in how many ways can six persons be selected from 4 officers and 8 constables, if at least one officer is to be included? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463235 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=463235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since we need one officer in the selection, we have 11 persons remaining from which we select five more persons. We have four officers to choose from giving us<BR>\n" );
document.write( "(1) N = 4*(11P5) or<BR>\n" );
document.write( "(2) N = 4*(11*10*9*8*7) or<BR>\n" );
document.write( "(3) N = 4*(55440) or<BR>\n" );
document.write( "(4) N = 221760<BR>\n" );
document.write( "Answer: There are 221760 selections that contain at least on officer. </SPAN>\n" );
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