document.write( "Question 881600: How many 3 digit number can be formed with the follwing numbers 1,2,3,4,3,2 \n" ); document.write( "
Algebra.Com's Answer #532384 by Edwin McCravy(20055)\"\" \"About 
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1,2,3,4,3,2
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document.write( "There are 4 types of 3 digit numbers that can be made with them.\r\n" );
document.write( "They are:\r\n" );
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document.write( "ABC, AAB, ABA, ABB\r\n" );
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document.write( "An example of type ABC would be 241.\r\n" );
document.write( "An example of type AAB would be 221.\r\n" );
document.write( "An example of type ABA would be 343.\r\n" );
document.write( "An example of type ABB would be 322.\r\n" );
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document.write( "Case 1:  ABC\r\n" );
document.write( "Choose the digit for A any of 4 ways {1,2,3,4}.\r\n" );
document.write( "Choose the digit for B any of the remaining 3 ways.\r\n" );
document.write( "Choose the digit for C any of the remaining 2 ways.\r\n" );
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document.write( "Total for case 1: 4*3*2 = 24 ways.\r\n" );
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document.write( "Case 2:  AAB\r\n" );
document.write( "Choose the digit for A any of 2 ways {2,3}\r\n" );
document.write( "Choose the digit for B any of the remaining 3 ways.\r\n" );
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document.write( "Total for case 2: 2*3 = 6 ways. \r\n" );
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document.write( "Case 3: ABA\r\n" );
document.write( "Same as Case 2:\r\n" );
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document.write( "Total for Case 3: 6 ways.\r\n" );
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document.write( "Case 4:  ABB\r\n" );
document.write( "Same as Case 2:\r\n" );
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document.write( "Total for Case 4: 6 ways.\r\n" );
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document.write( "Grand total: 24+6+6+6 = 42\r\n" );
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document.write( "Edwin
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