document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204817>Question 1204817</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A toys manufacture produces red, yellow, and green marples, with 8 available sizes, and containing or not a metal core.<BR>\n" );
document.write( "a) How many different kinds of marples are available?\r<BR>\n" );
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document.write( "A boy has 7 red , 2 yellow and 5 green marbles. In how many ways can the boy arrange the marbles in a line if:<BR>\n" );
document.write( "b)  All marbles have different sizes?\r<BR>\n" );
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document.write( "c)   Marbles of the same color are indistinguishable?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841356 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=841356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I will answer very first question (a), ONLY.\r<BR>\n" );
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document.write( "There are marbles of the three different colors; of 8 different sizes, and with a metal core or not.\r\n" );
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document.write( "In all, there are  3*8*2 = 48  different categories according to their features (color, size, core).\r\n" );
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