document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=371024>Question 371024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> help me solve this problem please. I don't know how to get the answers.\r<BR>\n" );
document.write( "\n" );
document.write( "a) How many different 7-digit numbers can be formed from the digits 0,1,2,2,3,3,3 assuming that a number cannot start with 0?\r<BR>\n" );
document.write( "\n" );
document.write( "ans : 360\r<BR>\n" );
document.write( "\n" );
document.write( "b) how many of these numbers will end in 0?\r<BR>\n" );
document.write( "\n" );
document.write( "ans : 60 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #264856 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=264856\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "2 is 2 times and 3 is 3 times repeated in given digits.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a)  no. of ways to form 7 digit no. = 7! / ( 2! * 3!) = 420\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " no. of ways to form 7 digit no. having 0 at starting place = 6!/(2! * 3!) = 60\r<BR>\n" );
document.write( "\n" );
document.write( "( here we have to arrange remaining 6 digits only because 0 at fixed position )\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "so, total no. that not start with 0 =  420-60 = 360 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b)similarly to last solution\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "no. of ways to form 7 digit no. having  0 at last place = 6!/(2! * 3!)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );