document.write( "Question 1157548: Students are given 5-digit passwords for their accounts on the school’s computer system. If no numbers can be repeat, what is the probability that a student’s password is 93152?
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Algebra.Com's Answer #780420 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "Let's consider these 5-digit codes with no repetitions.\r\n" );
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document.write( "In the left-most position, any of 10 digits can be placed (the problem does not prohibit 0 in this position).  It gives 10 options.\r\n" );
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document.write( "In the next position from the left, only one of remaining 9 digits can be placed (9 options).\r\n" );
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document.write( "In the 3-rd position from the left, only one of remaining 8 digits can be placed (8 options).\r\n" );
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document.write( " . . . And so on . . . \r\n" );
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document.write( "In all, there are 10*9*8*7*6 = 30240 such codes.\r\n" );
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document.write( "The specific code 93152 is unique. It is only one among 30240 all possible codes.\r\n" );
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document.write( "Therefore, the probability to randomly select this code is  .\r\n" );
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