Combinations calculation for the Lotto America
The combination calculation for the Lotto America indicates how many combinations exist in a series of n numbers.
How many pairs are formed with ten numbers?
How many groups of 3 numbers can be formed with 6 numbers?
How many groups of 4, 5 or 6 numbers are there in the Lotto America lottery?
This table provides the answers.
| NUMBER | 1 Num | 2 Num | 3 Num | 4 Num | 5 Num | 6 Num | 7 Num | 8 Num | 9 Num | 10 Num |
|---|---|---|---|---|---|---|---|---|---|---|
| 5 | 5 | 10 | 10 | 5 | 1 | |||||
| 6 | 6 | 15 | 20 | 15 | 6 | 1 | ||||
| 7 | 7 | 21 | 35 | 35 | 21 | 7 | 1 | |||
| 8 | 8 | 28 | 56 | 70 | 56 | 28 | 8 | 1 | ||
| 9 | 9 | 36 | 84 | 126 | 126 | 84 | 36 | 9 | 1 | |
| 10 | 10 | 45 | 120 | 210 | 252 | 210 | 120 | 45 | 10 | 1 |
| 11 | 11 | 55 | 165 | 330 | 462 | 462 | 330 | 165 | 55 | 11 |
| 12 | 12 | 66 | 220 | 495 | 792 | 924 | 792 | 495 | 220 | 66 |
| 13 | 13 | 78 | 286 | 715 | 1.287 | 1.716 | 1.716 | 1.287 | 715 | 286 |
| 14 | 14 | 91 | 364 | 1.001 | 2.002 | 3.003 | 3.432 | 3.003 | 2.002 | 1.001 |
| 15 | 15 | 105 | 455 | 1.365 | 3.003 | 5.005 | 6.435 | 6.435 | 5.005 | 3.003 |
| 16 | 16 | 120 | 560 | 1.820 | 4.368 | 8.008 | 11.440 | 12.870 | 11.440 | 8.008 |
| 17 | 17 | 136 | 680 | 2.380 | 6.188 | 12.376 | 19.448 | 24.310 | 24.310 | 19.448 |
| 18 | 18 | 153 | 816 | 3.060 | 8.568 | 18.564 | 31.824 | 43.758 | 48.620 | 43.758 |
| 19 | 19 | 171 | 969 | 3.876 | 11.628 | 27.132 | 50.388 | 75.582 | 92.378 | 92.378 |
| 20 | 20 | 190 | 1.140 | 4.845 | 15.504 | 38.760 | 77.520 | 125.970 | 167.960 | 184.756 |
| 21 | 21 | 210 | 1.330 | 5.985 | 20.349 | 54.264 | 116.280 | 203.490 | 293.930 | 352.716 |
| 22 | 22 | 231 | 1.540 | 7.315 | 26.334 | 74.613 | 170.544 | 319.770 | 497.420 | 646.646 |
| 23 | 23 | 253 | 1.771 | 8.855 | 33.649 | 100.947 | 245.157 | 490.314 | 817.190 | 1.144.066 |
| 24 | 24 | 276 | 2.024 | 10.626 | 42.504 | 134.596 | 346.104 | 735.471 | 1.307.504 | 1.961.256 |
| 25 | 25 | 300 | 2.300 | 12.650 | 53.130 | 177.100 | 480.700 | 1.081.575 | 2.042.975 | 3.268.760 |
| 26 | 26 | 325 | 2.600 | 14.950 | 65.780 | 230.230 | 657.800 | 1.562.275 | 3.124.550 | 5.311.735 |
| 27 | 27 | 351 | 2.925 | 17.550 | 80.730 | 296.010 | 888.030 | 2.220.075 | 4.686.825 | 8.436.285 |
| 28 | 28 | 378 | 3.276 | 20.475 | 98.280 | 376.740 | 1.184.040 | 3.108.105 | 6.906.900 | 13.123.110 |
| 29 | 29 | 406 | 3.654 | 23.751 | 118.755 | 475.020 | 1.560.780 | 4.292.145 | 10.015.005 | 20.030.010 |
| 30 | 30 | 435 | 4.060 | 27.405 | 142.506 | 593.775 | 2.035.800 | 5.852.925 | 14.307.150 | 30.045.015 |
| 31 | 31 | 465 | 4.495 | 31.465 | 169.911 | 736.281 | 2.629.575 | 7.888.725 | 20.160.075 | 44.352.165 |
| 32 | 32 | 496 | 4.960 | 35.960 | 201.376 | 906.192 | 3.365.856 | 10.518.300 | 28.048.800 | 64.512.240 |
| 33 | 33 | 528 | 5.456 | 40.920 | 237.336 | 1.107.568 | 4.272.048 | 13.884.156 | 38.567.100 | 92.561.040 |
| 34 | 34 | 561 | 5.984 | 46.376 | 278.256 | 1.344.904 | 5.379.616 | 18.156.204 | 52.451.256 | 131.128.140 |
| 35 | 35 | 595 | 6.545 | 52.360 | 324.632 | 1.623.160 | 6.724.520 | 23.535.820 | 70.607.460 | 183.579.396 |
| 36 | 36 | 630 | 7.140 | 58.905 | 376.992 | 1.947.792 | 8.347.680 | 30.260.340 | 94.143.280 | 254.186.856 |
| 37 | 37 | 666 | 7.770 | 66.045 | 435.897 | 2.324.784 | 10.295.472 | 38.608.020 | 124.403.620 | 348.330.136 |
| 38 | 38 | 703 | 8.436 | 73.815 | 501.942 | 2.760.681 | 12.620.256 | 48.903.492 | 163.011.640 | 472.733.756 |
| 39 | 39 | 741 | 9.139 | 82.251 | 575.757 | 3.262.623 | 15.380.937 | 61.523.748 | 211.915.132 | 635.745.396 |
| 40 | 40 | 780 | 9.880 | 91.390 | 658.008 | 3.838.380 | 18.643.560 | 76.904.685 | 273.438.880 | 847.660.528 |
| 41 | 41 | 820 | 10.660 | 101.270 | 749.398 | 4.496.388 | 22.481.940 | 95.548.245 | 350.343.565 | 1.121.099.408 |
| 42 | 42 | 861 | 11.480 | 111.930 | 850.668 | 5.245.786 | 26.978.328 | 118.030.185 | 445.891.810 | 1.471.442.973 |
| 43 | 43 | 903 | 12.341 | 123.410 | 962.598 | 6.096.454 | 32.224.114 | 145.008.513 | 563.921.995 | 1.917.334.783 |
| 44 | 44 | 946 | 13.244 | 135.751 | 1.086.008 | 7.059.052 | 38.320.568 | 177.232.627 | 708.930.508 | 2.481.256.778 |
| 45 | 45 | 990 | 14.190 | 148.995 | 1.221.759 | 8.145.060 | 45.379.620 | 215.553.195 | 886.163.135 | 3.190.187.286 |
| 46 | 46 | 1.035 | 15.180 | 163.185 | 1.370.754 | 9.366.819 | 53.524.680 | 260.932.815 | 1.101.716.330 | 4.076.350.421 |
| 47 | 47 | 1.081 | 16.215 | 178.365 | 1.533.939 | 10.737.573 | 62.891.499 | 314.457.495 | 1.362.649.145 | 5.178.066.751 |
| 48 | 48 | 1.128 | 17.296 | 194.580 | 1.712.304 | 12.271.512 | 73.629.072 | 377.348.994 | 1.677.106.640 | 6.540.715.896 |
| 49 | 49 | 1.176 | 18.424 | 211.876 | 1.906.884 | 13.983.816 | 85.900.584 | 450.978.066 | 2.054.455.634 | 8.217.822.536 |
| 50 | 50 | 1.225 | 19.600 | 230.300 | 2.118.760 | 15.890.700 | 99.884.400 | 536.878.650 | 2.505.433.700 | 10.272.278.170 |
| 51 | 51 | 1.275 | 20.825 | 249.900 | 2.349.060 | 18.009.460 | 115.775.100 | 636.763.050 | 3.042.312.350 | 12.777.711.870 |
| 52 | 52 | 1.326 | 22.100 | 270.725 | 2.598.960 | 20.358.520 | 133.784.560 | 752.538.150 | 3.679.075.400 | 15.820.024.220 |