document.write( "Question 1081455: What are the different ways can the numbers 3,5,5,& 8 be arranged? \n" ); document.write( "
Algebra.Com's Answer #696357 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "If we could tell the 5's apart, there would be:\r\n" ); document.write( "\r\n" ); document.write( "4 ways to place the 3.\r\n" ); document.write( "3 ways to place the first 5.\r\n" ); document.write( "2 ways to place the second 5.\r\n" ); document.write( "1 way to place the 1.\r\n" ); document.write( "\r\n" ); document.write( "The answer would be (4)(3)(2)(1) = 24 ways.\r\n" ); document.write( "However since we cannot tell the first 5 from the second 5,\r\n" ); document.write( "we must divide by the number of ways they can be switched,\r\n" ); document.write( "which is 2 ways.\r\n" ); document.write( "\r\n" ); document.write( "Answer: 24/2 = 12 ways. Here they are listed:\r\n" ); document.write( "\r\n" ); document.write( " 1. 3558\r\n" ); document.write( " 2. 3585\r\n" ); document.write( " 3. 3855\r\n" ); document.write( " 4. 5358\r\n" ); document.write( " 5. 5385\r\n" ); document.write( " 6. 5538\r\n" ); document.write( " 7. 5583\r\n" ); document.write( " 8. 5835\r\n" ); document.write( " 9. 5853\r\n" ); document.write( "10. 8355\r\n" ); document.write( "11. 8535\r\n" ); document.write( "12. 8553\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |