document.write( "Question 938690: How many different ways can you arrange the fo?
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document.write( "llowing four digit number 3239
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Algebra.Com's Answer #571874 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "If we could tell the difference between the 3's, like as if it were \r\n" ); document.write( "\r\n" ); document.write( "3239, the answer would be 4!, \r\n" ); document.write( "\r\n" ); document.write( "but since we can't tell the difference between the 3's, we must divide by\r\n" ); document.write( "the number of ways the 3's can be swapped within each 4-digit number, which\r\n" ); document.write( "is 2!.\r\n" ); document.write( "\r\n" ); document.write( "Answer 4!/2! = (4×3×2×1)/(2×1) = 24/2 = 12 ways:\r\n" ); document.write( "\r\n" ); document.write( "Here they are:\r\n" ); document.write( "\r\n" ); document.write( " 1. 2339\r\n" ); document.write( " 2. 2393\r\n" ); document.write( " 3. 2933\r\n" ); document.write( " 4. 3239\r\n" ); document.write( " 5. 3293 \r\n" ); document.write( " 6. 3329\r\n" ); document.write( " 7. 3392\r\n" ); document.write( " 8. 3923\r\n" ); document.write( " 9. 3932\r\n" ); document.write( "10. 9233\r\n" ); document.write( "11. 9323\r\n" ); document.write( "12. 9332\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |