document.write( "Question 404035: how many different ways can you score 77 points in a football game? \n" ); document.write( "
Algebra.Com's Answer #285646 by Edwin McCravy(20081) $\"\"$ $\"About$
You can put this solution on YOUR website!
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document.write( "6 points for a touchdown with no extra point kick or conversion.\r\n" );
document.write( "7 points for a touchdown with an extra point kick.\r\n" );
document.write( "8 points for a touchdown with a 2-point conversion.\r\n" );
document.write( "3 points for a field goal.\r\n" );
document.write( "2 points for a safety.\r\n" );
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document.write( "There are 67 possibilities, including the extremely unlikely\r\n" );
document.write( "case of #14 below where there are\r\n" );
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document.write( " 1 6-point TDs. no extra point       6 points\r\n" );
document.write( " 1 TDs with a 2-point conversion     8 points\r\n" );
document.write( " 1 Field goal                        3 points\r\n" );
document.write( "30 safeties                         60 points\r\n" );
document.write( "---------------------------------------------\r\n" );
document.write( "                                    77 points \r\n" );
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document.write( "Here they all are:\r\n" );
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document.write( "1. 0 6pt TDs, 0 7pt TDs, 3 8pt TDs, 3 3pt FGs, 22 2pt safeties\r\n" );
document.write( "2. 0 6pt TDs, 0 7pt TDs, 7 8pt TDs, 7 3pt FGs, 0 2pt safeties\r\n" );
document.write( "3. 0 6pt TDs, 1 7pt TDs, 2 8pt TDs, 2 3pt FGs, 24 2pt safeties\r\n" );
document.write( "4. 0 6pt TDs, 1 7pt TDs, 6 8pt TDs, 6 3pt FGs, 2 2pt safeties\r\n" );
document.write( "5. 0 6pt TDs, 2 7pt TDs, 1 8pt TDs, 1 3pt FGs, 26 2pt safeties\r\n" );
document.write( "6. 0 6pt TDs, 2 7pt TDs, 5 8pt TDs, 5 3pt FGs, 4 2pt safeties\r\n" );
document.write( "7. 0 6pt TDs, 3 7pt TDs, 0 8pt TDs, 0 3pt FGs, 28 2pt safeties\r\n" );
document.write( "8. 0 6pt TDs, 3 7pt TDs, 4 8pt TDs, 4 3pt FGs, 6 2pt safeties\r\n" );
document.write( "9. 0 6pt TDs, 4 7pt TDs, 3 8pt TDs, 3 3pt FGs, 8 2pt safeties\r\n" );
document.write( "10. 0 6pt TDs, 5 7pt TDs, 2 8pt TDs, 2 3pt FGs, 10 2pt safeties\r\n" );
document.write( "11. 0 6pt TDs, 6 7pt TDs, 1 8pt TDs, 1 3pt FGs, 12 2pt safeties\r\n" );
document.write( "12. 0 6pt TDs, 7 7pt TDs, 0 8pt TDs, 0 3pt FGs, 14 2pt safeties\r\n" );
document.write( "13. 0 6pt TDs, 11 7pt TDs, 0 8pt TDs, 0 3pt FGs, 0 2pt safeties\r\n" );
document.write( "14. 1 6pt TDs, 0 7pt TDs, 1 8pt TDs, 1 3pt FGs, 30 2pt safeties\r\n" );
document.write( "15. 1 6pt TDs, 0 7pt TDs, 5 8pt TDs, 5 3pt FGs, 8 2pt safeties\r\n" );
document.write( "16. 1 6pt TDs, 1 7pt TDs, 0 8pt TDs, 0 3pt FGs, 32 2pt safeties\r\n" );
document.write( "17. 1 6pt TDs, 1 7pt TDs, 4 8pt TDs, 4 3pt FGs, 10 2pt safeties\r\n" );
document.write( "18. 1 6pt TDs, 2 7pt TDs, 3 8pt TDs, 3 3pt FGs, 12 2pt safeties\r\n" );
document.write( "19. 1 6pt TDs, 3 7pt TDs, 2 8pt TDs, 2 3pt FGs, 14 2pt safeties\r\n" );
document.write( "20. 1 6pt TDs, 4 7pt TDs, 1 8pt TDs, 1 3pt FGs, 16 2pt safeties\r\n" );
document.write( "21. 1 6pt TDs, 5 7pt TDs, 0 8pt TDs, 0 3pt FGs, 18 2pt safeties\r\n" );
document.write( "22. 1 6pt TDs, 7 7pt TDs, 2 8pt TDs, 2 3pt FGs, 0 2pt safeties\r\n" );
document.write( "23. 1 6pt TDs, 8 7pt TDs, 1 8pt TDs, 1 3pt FGs, 2 2pt safeties\r\n" );
document.write( "24. 1 6pt TDs, 9 7pt TDs, 0 8pt TDs, 0 3pt FGs, 4 2pt safeties\r\n" );
document.write( "25. 2 6pt TDs, 0 7pt TDs, 3 8pt TDs, 3 3pt FGs, 16 2pt safeties\r\n" );
document.write( "26. 2 6pt TDs, 1 7pt TDs, 2 8pt TDs, 2 3pt FGs, 18 2pt safeties\r\n" );
document.write( "27. 2 6pt TDs, 2 7pt TDs, 1 8pt TDs, 1 3pt FGs, 20 2pt safeties\r\n" );
document.write( "28. 2 6pt TDs, 3 7pt TDs, 0 8pt TDs, 0 3pt FGs, 22 2pt safeties\r\n" );
document.write( "29. 2 6pt TDs, 3 7pt TDs, 4 8pt TDs, 4 3pt FGs, 0 2pt safeties\r\n" );
document.write( "30. 2 6pt TDs, 4 7pt TDs, 3 8pt TDs, 3 3pt FGs, 2 2pt safeties\r\n" );
document.write( "31. 2 6pt TDs, 5 7pt TDs, 2 8pt TDs, 2 3pt FGs, 4 2pt safeties\r\n" );
document.write( "32. 2 6pt TDs, 6 7pt TDs, 1 8pt TDs, 1 3pt FGs, 6 2pt safeties\r\n" );
document.write( "33. 2 6pt TDs, 7 7pt TDs, 0 8pt TDs, 0 3pt FGs, 8 2pt safeties\r\n" );
document.write( "34. 3 6pt TDs, 0 7pt TDs, 1 8pt TDs, 1 3pt FGs, 24 2pt safeties\r\n" );
document.write( "35. 3 6pt TDs, 0 7pt TDs, 5 8pt TDs, 5 3pt FGs, 2 2pt safeties\r\n" );
document.write( "36. 3 6pt TDs, 1 7pt TDs, 0 8pt TDs, 0 3pt FGs, 26 2pt safeties\r\n" );
document.write( "37. 3 6pt TDs, 1 7pt TDs, 4 8pt TDs, 4 3pt FGs, 4 2pt safeties\r\n" );
document.write( "38. 3 6pt TDs, 2 7pt TDs, 3 8pt TDs, 3 3pt FGs, 6 2pt safeties\r\n" );
document.write( "39. 3 6pt TDs, 3 7pt TDs, 2 8pt TDs, 2 3pt FGs, 8 2pt safeties\r\n" );
document.write( "40. 3 6pt TDs, 4 7pt TDs, 1 8pt TDs, 1 3pt FGs, 10 2pt safeties\r\n" );
document.write( "41. 3 6pt TDs, 5 7pt TDs, 0 8pt TDs, 0 3pt FGs, 12 2pt safeties\r\n" );
document.write( "42. 4 6pt TDs, 0 7pt TDs, 3 8pt TDs, 3 3pt FGs, 10 2pt safeties\r\n" );
document.write( "43. 4 6pt TDs, 1 7pt TDs, 2 8pt TDs, 2 3pt FGs, 12 2pt safeties\r\n" );
document.write( "44. 4 6pt TDs, 2 7pt TDs, 1 8pt TDs, 1 3pt FGs, 14 2pt safeties\r\n" );
document.write( "45. 4 6pt TDs, 3 7pt TDs, 0 8pt TDs, 0 3pt FGs, 16 2pt safeties\r\n" );
document.write( "46. 4 6pt TDs, 6 7pt TDs, 1 8pt TDs, 1 3pt FGs, 0 2pt safeties\r\n" );
document.write( "47. 4 6pt TDs, 7 7pt TDs, 0 8pt TDs, 0 3pt FGs, 2 2pt safeties\r\n" );
document.write( "48. 5 6pt TDs, 0 7pt TDs, 1 8pt TDs, 1 3pt FGs, 18 2pt safeties\r\n" );
document.write( "49. 5 6pt TDs, 1 7pt TDs, 0 8pt TDs, 0 3pt FGs, 20 2pt safeties\r\n" );
document.write( "50. 5 6pt TDs, 2 7pt TDs, 3 8pt TDs, 3 3pt FGs, 0 2pt safeties\r\n" );
document.write( "51. 5 6pt TDs, 3 7pt TDs, 2 8pt TDs, 2 3pt FGs, 2 2pt safeties\r\n" );
document.write( "52. 5 6pt TDs, 4 7pt TDs, 1 8pt TDs, 1 3pt FGs, 4 2pt safeties\r\n" );
document.write( "53. 5 6pt TDs, 5 7pt TDs, 0 8pt TDs, 0 3pt FGs, 6 2pt safeties\r\n" );
document.write( "54. 6 6pt TDs, 0 7pt TDs, 3 8pt TDs, 3 3pt FGs, 4 2pt safeties\r\n" );
document.write( "55. 6 6pt TDs, 1 7pt TDs, 2 8pt TDs, 2 3pt FGs, 6 2pt safeties\r\n" );
document.write( "56. 6 6pt TDs, 2 7pt TDs, 1 8pt TDs, 1 3pt FGs, 8 2pt safeties\r\n" );
document.write( "57. 6 6pt TDs, 3 7pt TDs, 0 8pt TDs, 0 3pt FGs, 10 2pt safeties\r\n" );
document.write( "58. 7 6pt TDs, 0 7pt TDs, 1 8pt TDs, 1 3pt FGs, 12 2pt safeties\r\n" );
document.write( "59. 7 6pt TDs, 1 7pt TDs, 0 8pt TDs, 0 3pt FGs, 14 2pt safeties\r\n" );
document.write( "60. 7 6pt TDs, 5 7pt TDs, 0 8pt TDs, 0 3pt FGs, 0 2pt safeties\r\n" );
document.write( "61. 8 6pt TDs, 1 7pt TDs, 2 8pt TDs, 2 3pt FGs, 0 2pt safeties\r\n" );
document.write( "62. 8 6pt TDs, 2 7pt TDs, 1 8pt TDs, 1 3pt FGs, 2 2pt safeties\r\n" );
document.write( "63. 8 6pt TDs, 3 7pt TDs, 0 8pt TDs, 0 3pt FGs, 4 2pt safeties\r\n" );
document.write( "64. 9 6pt TDs, 0 7pt TDs, 1 8pt TDs, 1 3pt FGs, 6 2pt safeties\r\n" );
document.write( "65. 9 6pt TDs, 1 7pt TDs, 0 8pt TDs, 0 3pt FGs, 8 2pt safeties\r\n" );
document.write( "66. 11 6pt TDs, 0 7pt TDs, 1 8pt TDs, 1 3pt FGs, 0 2pt safeties\r\n" );
document.write( "67. 11 6pt TDs, 1 7pt TDs, 0 8pt TDs, 0 3pt FGs, 2 2pt safeties\r\n" );
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document.write( "Edwin
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