document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1088487>Question 1088487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A design of face is to be painted using a different color for the face, the eyes (both of which have to be the same color), the nose and the mouth. If 6 different colors are available, how many designs are possible? <BR>\n" );
document.write( "a. 120<BR>\n" );
document.write( "b. 240<BR>\n" );
document.write( "c. 360<BR>\n" );
document.write( "d. 720 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702741 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=702741\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:<BR>\n" );
document.write( "A design of face is to be painted using a different color for the face, the eyes (both of which have to be the same color), the nose and the mouth. If 6 different colors are available, how many designs are possible? <BR>\n" );
document.write( " <BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "First choose 4 colours out of the 6 in C(6,4)=15 ways.<BR>\n" );
document.write( "Then the 4 colours can be applied to the four locations in 4!=24 ways.<BR>\n" );
document.write( "The total number of different faces is therefore 15*24=360. </SPAN>\n" );
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