document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=450503>Question 450503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "Assuming that at least one coin is used, how many different sums of money can be made from the following coins: a penny, a nickel, a quarter, a fifty-cent piece, and a dollar?\r<BR>\n" );
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document.write( "I know the answer is 63 ways, but i have no idea how to approach the question and get the answer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309844 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=309844\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "For each coin there is two ways, either include the coin or exclude it.\r<BR>\n" );
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document.write( "so, each coin can be selected in 2 ways, and total 5 coins\r<BR>\n" );
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document.write( "total no. of ways = 2*2*2*2*2 = 32 \r<BR>\n" );
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document.write( "but there will one single case in which no coin selected, so discard it.\r<BR>\n" );
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document.write( "total no. of ways when at least one coin= 32-1 = 31 \r<BR>\n" );
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document.write( "if any doubt, feel free to contact.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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