document.write( "Question 684488: how many three-digit numbers greater than 600 can be performed by using the digits 4,5,6,7,8 \n" ); document.write( "
Algebra.Com's Answer #424121 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! how many three-digit numbers greater than 600 can be performed by using the digits 4,5,6,7,8 \n" ); document.write( " \r\n" ); document.write( "We can choose the first digit any of these 3 ways: {6,7,8}\r\n" ); document.write( "\r\n" ); document.write( "For each of those 3 ways we can choose the first digit,\r\n" ); document.write( "we can then choose the second digit any of these 5 ways {4,5,6,7,8}\r\n" ); document.write( "That's 3×5 or 15 ways to chose the first and second digits.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 15 ways we can choose the first and second digits,\r\n" ); document.write( "we can then choose the third digit any of these 5 ways {4,5,6,7,8}\r\n" ); document.write( "That's 15×5 or 75 ways to chose the first, second, and third digits,\r\n" ); document.write( "so that's the answer.\r\n" ); document.write( "\r\n" ); document.write( "Answer: 75\r\n" ); document.write( "\r\n" ); document.write( "Here are all 75 three digit numbers:\r\n" ); document.write( " 1. 644 2. 645 3. 646 4. 647 5. 648 6. 654 7. 655 8. 656 9. 657 10. 658\r\n" ); document.write( "11. 664 12. 665 13. 666 14. 667 15. 668 16. 674 17. 675 18. 676 19. 677 20. 678\r\n" ); document.write( "21. 684 22. 685 23. 686 24. 687 25. 688 26. 744 27. 745 28. 746 29. 747 30. 748\r\n" ); document.write( "31. 754 32. 755 33. 756 34. 757 35. 758 36. 764 37. 765 38. 766 39. 767 40. 768\r\n" ); document.write( "41. 774 42. 775 43. 776 44. 777 45. 778 46. 784 47. 785 48. 786 49. 787 50. 788\r\n" ); document.write( "51. 844 52. 845 53. 846 54. 847 55. 848 56. 854 57. 855 58. 856 59. 857 60. 858\r\n" ); document.write( "61. 864 62. 865 63. 866 64. 867 65. 868 66. 874 67. 875 68. 876 69. 877 70. 878\r\n" ); document.write( "71. 884 72. 885 73. 886 74. 887 75. 888\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |