document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=422870>Question 422870</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the digits 1, 2, 3, 4, 5, and 7 are randomly arranged to form a six-digit number.  Find the probability that the first and last digits are both even. </SPAN>\n" );
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document.write( "no. of ways to arrange these 6 digits = 6! \r<BR>\n" );
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document.write( "no. of ways to arrange 6 digits where first and last digit are even \r<BR>\n" );
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document.write( "= no. of ways to arrange first and last digit * no. of ways to arrange 4 inner digits\r<BR>\n" );
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document.write( "= 2! * 4!\r<BR>\n" );
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document.write( "= 2 * 24\r<BR>\n" );
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document.write( "= 48\r<BR>\n" );
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document.write( "required probability = 48/6! \r<BR>\n" );
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document.write( "= 48/720\r<BR>\n" );
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document.write( "= 1/15\r<BR>\n" );
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document.write( " </SPAN>\n" );
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