Combinations calculation for the Powerball

The combination calculation for the Powerball 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 Powerball lottery?
This table provides the answers.

NUMBER1 Num2 Num3 Num4 Num5 Num6 Num7 Num8 Num9 Num10 Num
55101051
6615201561
772135352171
88285670562881
993684126126843691
10104512021025221012045101
1111551653304624623301655511
12126622049579292479249522066
1313782867151.2871.7161.7161.287715286
1414913641.0012.0023.0033.4323.0032.0021.001
15151054551.3653.0035.0056.4356.4355.0053.003
16161205601.8204.3688.00811.44012.87011.4408.008
17171366802.3806.18812.37619.44824.31024.31019.448
18181538163.0608.56818.56431.82443.75848.62043.758
19191719693.87611.62827.13250.38875.58292.37892.378
20201901.1404.84515.50438.76077.520125.970167.960184.756
21212101.3305.98520.34954.264116.280203.490293.930352.716
22222311.5407.31526.33474.613170.544319.770497.420646.646
23232531.7718.85533.649100.947245.157490.314817.1901.144.066
24242762.02410.62642.504134.596346.104735.4711.307.5041.961.256
25253002.30012.65053.130177.100480.7001.081.5752.042.9753.268.760
26263252.60014.95065.780230.230657.8001.562.2753.124.5505.311.735
27273512.92517.55080.730296.010888.0302.220.0754.686.8258.436.285
28283783.27620.47598.280376.7401.184.0403.108.1056.906.90013.123.110
29294063.65423.751118.755475.0201.560.7804.292.14510.015.00520.030.010
30304354.06027.405142.506593.7752.035.8005.852.92514.307.15030.045.015
31314654.49531.465169.911736.2812.629.5757.888.72520.160.07544.352.165
32324964.96035.960201.376906.1923.365.85610.518.30028.048.80064.512.240
33335285.45640.920237.3361.107.5684.272.04813.884.15638.567.10092.561.040
34345615.98446.376278.2561.344.9045.379.61618.156.20452.451.256131.128.140
35355956.54552.360324.6321.623.1606.724.52023.535.82070.607.460183.579.396
36366307.14058.905376.9921.947.7928.347.68030.260.34094.143.280254.186.856
37376667.77066.045435.8972.324.78410.295.47238.608.020124.403.620348.330.136
38387038.43673.815501.9422.760.68112.620.25648.903.492163.011.640472.733.756
39397419.13982.251575.7573.262.62315.380.93761.523.748211.915.132635.745.396
40407809.88091.390658.0083.838.38018.643.56076.904.685273.438.880847.660.528
414182010.660101.270749.3984.496.38822.481.94095.548.245350.343.5651.121.099.408
424286111.480111.930850.6685.245.78626.978.328118.030.185445.891.8101.471.442.973
434390312.341123.410962.5986.096.45432.224.114145.008.513563.921.9951.917.334.783
444494613.244135.7511.086.0087.059.05238.320.568177.232.627708.930.5082.481.256.778
454599014.190148.9951.221.7598.145.06045.379.620215.553.195886.163.1353.190.187.286
46461.03515.180163.1851.370.7549.366.81953.524.680260.932.8151.101.716.3304.076.350.421
47471.08116.215178.3651.533.93910.737.57362.891.499314.457.4951.362.649.1455.178.066.751
48481.12817.296194.5801.712.30412.271.51273.629.072377.348.9941.677.106.6406.540.715.896
49491.17618.424211.8761.906.88413.983.81685.900.584450.978.0662.054.455.6348.217.822.536
50501.22519.600230.3002.118.76015.890.70099.884.400536.878.6502.505.433.70010.272.278.170
51511.27520.825249.9002.349.06018.009.460115.775.100636.763.0503.042.312.35012.777.711.870
52521.32622.100270.7252.598.96020.358.520133.784.560752.538.1503.679.075.40015.820.024.220
53531.37823.426292.8252.869.68522.957.480154.143.080886.322.7104.431.613.55019.499.099.620
54541.43124.804316.2513.162.51025.827.165177.100.5601.040.465.7905.317.936.26023.930.713.170
55551.48526.235341.0553.478.76128.989.675202.927.7251.217.566.3506.358.402.05029.248.649.430
56561.54027.720367.2903.819.81632.468.436231.917.4001.420.494.0757.575.968.40035.607.051.480
57571.59629.260395.0104.187.10636.288.252264.385.8361.652.411.4758.996.462.47543.183.019.880
58581.65330.856424.2704.582.11640.475.358300.674.0881.916.797.31110.648.873.95052.179.482.355
59591.71132.509455.1265.006.38645.057.474341.149.4462.217.471.39912.565.671.26162.828.356.305
60601.77034.220487.6355.461.51250.063.860386.206.9202.558.620.84514.783.142.66075.394.027.566
61611.83035.990521.8555.949.14755.525.372436.270.7802.944.827.76517.341.763.50590.177.170.226
62621.89137.820557.8456.471.00261.474.519491.796.1523.381.098.54520.286.591.270107.518.933.731
63631.95339.711595.6657.028.84767.945.521553.270.6713.872.894.69723.667.689.815127.805.525.001
64642.01641.664635.3767.624.51274.974.368621.216.1924.426.165.36827.540.584.512151.473.214.816
65652.08043.680677.0408.259.88882.598.880696.190.5605.047.381.56031.966.749.880179.013.799.328
66662.14545.760720.7208.936.92890.858.768778.789.4405.743.572.12037.014.131.440210.980.549.208
67672.21147.905766.4809.657.64899.795.696869.648.2086.522.361.56042.757.703.560247.994.680.648
68682.27850.116814.38510.424.128109.453.344969.443.9047.392.009.76849.280.065.120290.752.384.208
69692.34652.394864.50111.238.513119.877.4721.078.897.2488.361.453.67256.672.074.888340.032.449.328
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