document.write( "Question 946470: Five digit numbers of different digits are formed at random from the digits { 0, 1, 2, 3, 4, 5, 6 }. What is the probability that number formed is even? \n" ); document.write( "

Algebra.Com's Answer #577978 by Edwin McCravy(20055) $\"\"$ $\"About$

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0, 1, 2, 3, 4, 5, 6
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document.write( "Case 1: When the first digit is 2, 4 or 6.\r\n" );
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document.write( "Choose the 1st digit 3 ways.  (2, 4 or 6) \r\n" );
document.write( "Choose the 5th digit 3 ways.  (use 0 or the 2 even digits still unused) \r\n" );
document.write( "Choose the 2nd digit 7 ways.\r\n" );
document.write( "Choose the 3rd digit 6 ways.\r\n" );
document.write( "Choose the 4th digit 5 ways. \r\n" );
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document.write( "That's 3x3x7x6x5 = 1890\r\n" );
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document.write( "Case 2: When the first digit is 1, 3 or 5.\r\n" );
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document.write( "Choose the 1st digit 3 ways.  (1, 3 or 5) \r\n" );
document.write( "Choose the 5th digit 4 ways.  (0, 2, 4, or 6) \r\n" );
document.write( "Choose the 2nd digit 7 ways.\r\n" );
document.write( "Choose the 3rd digit 6 ways.\r\n" );
document.write( "Choose the 4th digit 5 ways.\r\n" );
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document.write( "That's 3x4x7x6x5 = 2520\r\n" );
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document.write( "Total: 1890+2520 = 4410.\r\n" );
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document.write( "Edwin

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