document.write( "Question 1085713: How many numbers of four different digits each can be formed from the digits 0,2,3,5,6,9? Of these numbers, how many are even? ; how many are divisible by 5? \n" ); document.write( "
Algebra.Com's Answer #699780 by Edwin McCravy(20056)\"\" \"About 
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document.write( "How many numbers of four different digits each can be \r\n" );
document.write( "formed from the digits 0,2,3,5,6,9? \r\n" );
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document.write( "There are 5 ways to choose the 1st digit. (can't choose 0)\r\n" );
document.write( "There are 5 remaining ways to choose the 2nd digit. (can choose 0)\r\n" );
document.write( "There are 4 remaining ways to choose the 3rd digit.\r\n" );
document.write( "There are 3 remaining ways to choose the 4th digit.\r\n" );
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document.write( "answer: 5∙5∙4∙3 = 300 ways. \r\n" );
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document.write( "Case 1.  0 is chosen for the 4th digit.\r\n" );
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document.write( "There is 1 way to choose the 4th digit. (as 0)\r\n" );
document.write( "There are 5 remaining ways to choose the 1st digit.\r\n" );
document.write( "There are 4 remaining ways to choose the 2nd digit.\r\n" );
document.write( "There are 3 remaining ways to choose the 3rd digit.\r\n" );
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document.write( "answer for case 1: 1∙5∙4∙3 = 60 ways. \r\n" );
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document.write( "Case 2.  0 is not chosen for the 4th digit.\r\n" );
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document.write( "There are 2 ways to choose the 4th digit. (as 2 or 6)\r\n" );
document.write( "There are 4 remaining ways to choose the 1st digit.  (can't choose 0)\r\n" );
document.write( "There are 4 remaining ways to choose the 2nd digit.\r\n" );
document.write( "There are 3 remaining ways to choose the 3rd digit.\r\n" );
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document.write( "answer for case 2: 2∙4∙4∙3 = 96 ways.\r\n" );
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document.write( "Total for the two cases: 60+96 = 156\r\n" );
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\n" ); document.write( "how many are divisible by 5?
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document.write( "Case 1.  0 is chosen for the 4th digit.\r\n" );
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document.write( "Same as case 2 in the preceding problem:\r\n" );
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document.write( "answer for case 1: 60 ways. \r\n" );
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document.write( "Case 2.  5 is chosen for the 4th digit.\r\n" );
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document.write( "There is 1 way to choose the 4th digit. (as 5)\r\n" );
document.write( "There are 4 remaining ways to choose the 1st digit. (can't choose 0)\r\n" );
document.write( "There are 4 remaining ways to choose the 2nd digit.\r\n" );
document.write( "There are 3 remaining ways to choose the 3rd digit.\r\n" );
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document.write( "answer: 1∙4∙4∙3 = 48 ways.\r\n" );
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document.write( "Total for the two cases: 60+48 = 108 ways.\r\n" );
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document.write( "Edwin

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