Combinations calculation for the New York Pick 10
The combination calculation for the New York Pick 10 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 New York Pick 10 lottery? This table provides the answers.
| NUMBER | 6 Num | 7 Num | 8 Num | 9 Num | 10 Num |
|---|---|---|---|---|---|
| 10 | 210 | 120 | 45 | 10 | 1 |
| 11 | 462 | 330 | 165 | 55 | 11 |
| 12 | 924 | 792 | 495 | 220 | 66 |
| 13 | 1.716 | 1.716 | 1.287 | 715 | 286 |
| 14 | 3.003 | 3.432 | 3.003 | 2.002 | 1.001 |
| 15 | 5.005 | 6.435 | 6.435 | 5.005 | 3.003 |
| 16 | 8.008 | 11.440 | 12.870 | 11.440 | 8.008 |
| 17 | 12.376 | 19.448 | 24.310 | 24.310 | 19.448 |
| 18 | 18.564 | 31.824 | 43.758 | 48.620 | 43.758 |
| 19 | 27.132 | 50.388 | 75.582 | 92.378 | 92.378 |
| 20 | 38.760 | 77.520 | 125.970 | 167.960 | 184.756 |
| 21 | 54.264 | 116.280 | 203.490 | 293.930 | 352.716 |
| 22 | 74.613 | 170.544 | 319.770 | 497.420 | 646.646 |
| 23 | 100.947 | 245.157 | 490.314 | 817.190 | 1.144.066 |
| 24 | 134.596 | 346.104 | 735.471 | 1.307.504 | 1.961.256 |
| 25 | 177.100 | 480.700 | 1.081.575 | 2.042.975 | 3.268.760 |
| 26 | 230.230 | 657.800 | 1.562.275 | 3.124.550 | 5.311.735 |
| 27 | 296.010 | 888.030 | 2.220.075 | 4.686.825 | 8.436.285 |
| 28 | 376.740 | 1.184.040 | 3.108.105 | 6.906.900 | 13.123.110 |
| 29 | 475.020 | 1.560.780 | 4.292.145 | 10.015.005 | 20.030.010 |
| 30 | 593.775 | 2.035.800 | 5.852.925 | 14.307.150 | 30.045.015 |
| 31 | 736.281 | 2.629.575 | 7.888.725 | 20.160.075 | 44.352.165 |
| 32 | 906.192 | 3.365.856 | 10.518.300 | 28.048.800 | 64.512.240 |
| 33 | 1.107.568 | 4.272.048 | 13.884.156 | 38.567.100 | 92.561.040 |
| 34 | 1.344.904 | 5.379.616 | 18.156.204 | 52.451.256 | 131.128.140 |
| 35 | 1.623.160 | 6.724.520 | 23.535.820 | 70.607.460 | 183.579.396 |
| 36 | 1.947.792 | 8.347.680 | 30.260.340 | 94.143.280 | 254.186.856 |
| 37 | 2.324.784 | 10.295.472 | 38.608.020 | 124.403.620 | 348.330.136 |
| 38 | 2.760.681 | 12.620.256 | 48.903.492 | 163.011.640 | 472.733.756 |
| 39 | 3.262.623 | 15.380.937 | 61.523.748 | 211.915.132 | 635.745.396 |
| 40 | 3.838.380 | 18.643.560 | 76.904.685 | 273.438.880 | 847.660.528 |
| 41 | 4.496.388 | 22.481.940 | 95.548.245 | 350.343.565 | 1.121.099.408 |
| 42 | 5.245.786 | 26.978.328 | 118.030.185 | 445.891.810 | 1.471.442.973 |
| 43 | 6.096.454 | 32.224.114 | 145.008.513 | 563.921.995 | 1.917.334.783 |
| 44 | 7.059.052 | 38.320.568 | 177.232.627 | 708.930.508 | 2.481.256.778 |
| 45 | 8.145.060 | 45.379.620 | 215.553.195 | 886.163.135 | 3.190.187.286 |
| 46 | 9.366.819 | 53.524.680 | 260.932.815 | 1.101.716.330 | 4.076.350.421 |
| 47 | 10.737.573 | 62.891.499 | 314.457.495 | 1.362.649.145 | 5.178.066.751 |
| 48 | 12.271.512 | 73.629.072 | 377.348.994 | 1.677.106.640 | 6.540.715.896 |
| 49 | 13.983.816 | 85.900.584 | 450.978.066 | 2.054.455.634 | 8.217.822.536 |
| 50 | 15.890.700 | 99.884.400 | 536.878.650 | 2.505.433.700 | 10.272.278.170 |
| 51 | 18.009.460 | 115.775.100 | 636.763.050 | 3.042.312.350 | 12.777.711.870 |
| 52 | 20.358.520 | 133.784.560 | 752.538.150 | 3.679.075.400 | 15.820.024.220 |
| 53 | 22.957.480 | 154.143.080 | 886.322.710 | 4.431.613.550 | 19.499.099.620 |
| 54 | 25.827.165 | 177.100.560 | 1.040.465.790 | 5.317.936.260 | 23.930.713.170 |
| 55 | 28.989.675 | 202.927.725 | 1.217.566.350 | 6.358.402.050 | 29.248.649.430 |
| 56 | 32.468.436 | 231.917.400 | 1.420.494.075 | 7.575.968.400 | 35.607.051.480 |
| 57 | 36.288.252 | 264.385.836 | 1.652.411.475 | 8.996.462.475 | 43.183.019.880 |
| 58 | 40.475.358 | 300.674.088 | 1.916.797.311 | 10.648.873.950 | 52.179.482.355 |
| 59 | 45.057.474 | 341.149.446 | 2.217.471.399 | 12.565.671.261 | 62.828.356.305 |
| 60 | 50.063.860 | 386.206.920 | 2.558.620.845 | 14.783.142.660 | 75.394.027.566 |
| 61 | 55.525.372 | 436.270.780 | 2.944.827.765 | 17.341.763.505 | 90.177.170.226 |
| 62 | 61.474.519 | 491.796.152 | 3.381.098.545 | 20.286.591.270 | 107.518.933.731 |
| 63 | 67.945.521 | 553.270.671 | 3.872.894.697 | 23.667.689.815 | 127.805.525.001 |
| 64 | 74.974.368 | 621.216.192 | 4.426.165.368 | 27.540.584.512 | 151.473.214.816 |
| 65 | 82.598.880 | 696.190.560 | 5.047.381.560 | 31.966.749.880 | 179.013.799.328 |
| 66 | 90.858.768 | 778.789.440 | 5.743.572.120 | 37.014.131.440 | 210.980.549.208 |
| 67 | 99.795.696 | 869.648.208 | 6.522.361.560 | 42.757.703.560 | 247.994.680.648 |
| 68 | 109.453.344 | 969.443.904 | 7.392.009.768 | 49.280.065.120 | 290.752.384.208 |
| 69 | 119.877.472 | 1.078.897.248 | 8.361.453.672 | 56.672.074.888 | 340.032.449.328 |
| 70 | 131.115.985 | 1.198.774.720 | 9.440.350.920 | 65.033.528.560 | 396.704.524.216 |
| 71 | 143.218.999 | 1.329.890.705 | 10.639.125.640 | 74.473.879.480 | 461.738.052.776 |
| 72 | 156.238.908 | 1.473.109.704 | 11.969.016.345 | 85.113.005.120 | 536.211.932.256 |
| 73 | 170.230.452 | 1.629.348.612 | 13.442.126.049 | 97.082.021.465 | 621.324.937.376 |
| 74 | 185.250.786 | 1.799.579.064 | 15.071.474.661 | 110.524.147.514 | 718.406.958.841 |
| 75 | 201.359.550 | 1.984.829.850 | 16.871.053.725 | 125.595.622.175 | 828.931.106.355 |
| 76 | 218.618.940 | 2.186.189.400 | 18.855.883.575 | 142.466.675.900 | 954.526.728.530 |
| 77 | 237.093.780 | 2.404.808.340 | 21.042.072.975 | 161.322.559.475 | 1.096.993.404.430 |
| 78 | 256.851.595 | 2.641.902.120 | 23.446.881.315 | 182.364.632.450 | 1.258.315.963.905 |
| 79 | 277.962.685 | 2.898.753.715 | 26.088.783.435 | 205.811.513.765 | 1.440.680.596.355 |
| 80 | 300.500.200 | 3.176.716.400 | 28.987.537.150 | 231.900.297.200 | 1.646.492.110.120 |