Combinations calculation for the South Africa Daily Lotto

The combination calculation for the South Africa Daily Lotto 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 South Africa Daily Lotto lottery?
This table provides the answers.

NUMBER	2 Num	3 Num	4 Num	5 Num	6 Num	7 Num	8 Num	9 Num	10 Num
5	10	10	5	1
6	15	20	15	6	1
7	21	35	35	21	7	1
8	28	56	70	56	28	8	1
9	36	84	126	126	84	36	9	1
10	45	120	210	252	210	120	45	10	1
11	55	165	330	462	462	330	165	55	11
12	66	220	495	792	924	792	495	220	66
13	78	286	715	1.287	1.716	1.716	1.287	715	286
14	91	364	1.001	2.002	3.003	3.432	3.003	2.002	1.001
15	105	455	1.365	3.003	5.005	6.435	6.435	5.005	3.003
16	120	560	1.820	4.368	8.008	11.440	12.870	11.440	8.008
17	136	680	2.380	6.188	12.376	19.448	24.310	24.310	19.448
18	153	816	3.060	8.568	18.564	31.824	43.758	48.620	43.758
19	171	969	3.876	11.628	27.132	50.388	75.582	92.378	92.378
20	190	1.140	4.845	15.504	38.760	77.520	125.970	167.960	184.756
21	210	1.330	5.985	20.349	54.264	116.280	203.490	293.930	352.716
22	231	1.540	7.315	26.334	74.613	170.544	319.770	497.420	646.646
23	253	1.771	8.855	33.649	100.947	245.157	490.314	817.190	1.144.066
24	276	2.024	10.626	42.504	134.596	346.104	735.471	1.307.504	1.961.256
25	300	2.300	12.650	53.130	177.100	480.700	1.081.575	2.042.975	3.268.760
26	325	2.600	14.950	65.780	230.230	657.800	1.562.275	3.124.550	5.311.735
27	351	2.925	17.550	80.730	296.010	888.030	2.220.075	4.686.825	8.436.285
28	378	3.276	20.475	98.280	376.740	1.184.040	3.108.105	6.906.900	13.123.110
29	406	3.654	23.751	118.755	475.020	1.560.780	4.292.145	10.015.005	20.030.010
30	435	4.060	27.405	142.506	593.775	2.035.800	5.852.925	14.307.150	30.045.015
31	465	4.495	31.465	169.911	736.281	2.629.575	7.888.725	20.160.075	44.352.165
32	496	4.960	35.960	201.376	906.192	3.365.856	10.518.300	28.048.800	64.512.240
33	528	5.456	40.920	237.336	1.107.568	4.272.048	13.884.156	38.567.100	92.561.040
34	561	5.984	46.376	278.256	1.344.904	5.379.616	18.156.204	52.451.256	131.128.140
35	595	6.545	52.360	324.632	1.623.160	6.724.520	23.535.820	70.607.460	183.579.396
36	630	7.140	58.905	376.992	1.947.792	8.347.680	30.260.340	94.143.280	254.186.856