document.write( "Question 691193: how many 4 digit number combinations can be made out of the number 1486 \n" ); document.write( "
Algebra.Com's Answer #426574 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "There are 4 ways to choose the first digit.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 4 ways, that leave 3 ways to choose the \r\n" ); document.write( "second digit.\r\n" ); document.write( "\r\n" ); document.write( "So that's 4×3 or 12 ways to choose the first two digits.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 4×3 ways to choose the first two digits,\r\n" ); document.write( "that leave 2 ways to choose the third digit.\r\n" ); document.write( "\r\n" ); document.write( "So that's 4×3×2 or 24 ways to choose the first three digits.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 4×3×2 ways to choose the first three digits,\r\n" ); document.write( "that leaves just 1 way to choose the last digit.\r\n" ); document.write( "\r\n" ); document.write( "So that's 4×3×2×1 or 24 ways to choose all four digits.\r\n" ); document.write( "\r\n" ); document.write( "Here they all are:\r\n" ); document.write( "\r\n" ); document.write( "1. 1468\r\n" ); document.write( "2. 1486\r\n" ); document.write( "3. 1648\r\n" ); document.write( "4. 1684\r\n" ); document.write( "5. 1846\r\n" ); document.write( "6. 1864\r\n" ); document.write( "7. 4168\r\n" ); document.write( "8. 4186\r\n" ); document.write( "9. 4618\r\n" ); document.write( "10. 4681\r\n" ); document.write( "11. 4816\r\n" ); document.write( "12. 4861\r\n" ); document.write( "13. 6148\r\n" ); document.write( "14. 6184\r\n" ); document.write( "15. 6418\r\n" ); document.write( "16. 6481\r\n" ); document.write( "17. 6814\r\n" ); document.write( "18. 6841\r\n" ); document.write( "19. 8146\r\n" ); document.write( "20. 8164\r\n" ); document.write( "21. 8416\r\n" ); document.write( "22. 8461\r\n" ); document.write( "23. 8614\r\n" ); document.write( "24. 8641\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |