document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174957>Question 1174957</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A five-digit number is formed by arranging 2, 3, 4, 5, and 6 randomly without repetition. Find the<BR>\n" );
document.write( "probabilities of the following events,<BR>\n" );
document.write( "The number is an even number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #800476 by </B><A HREF=/tutors/aboutme.mpl?userid=jitendra_maths><B>jitendra_maths(6)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jitendra_maths><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=jitendra_maths><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=800476\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given digits are 2,3,4,5,6<BR>\n" );
document.write( " to make an even number, unit place digit must be filled by either 2, 4 or 6<BR>\n" );
document.write( "total numbers formed by keeping 2 at unit place = 4! = 4x3x2x1 = 24<BR>\n" );
document.write( "similarly numbers formed by keeping 4 at unit place = 24<BR>\n" );
document.write( "and numbers formed by keeping 6 at unit place = 24<BR>\n" );
document.write( " total even numbers = 24=24+24 = 72\r<BR>\n" );
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document.write( "total number of ways by arranging the digits = 5! = 5x4x3x2x1 = 120\r<BR>\n" );
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document.write( "Henc, Probability of an even number = 72/120 = 3/5 </SPAN>\n" );
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