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Number Combinations

This chart will tell you how many combinations of X are in Y

 

For example

How many 3 (x) number combinations are there in 10 (Y) numbers? A: 120

I have highlighted it bold in the chart for easy reference.

Each number has a file containing the entire list of numbers, I have added the smaller files here.

To download simply click the number.

 

How many combinations of X in Y numbers

 

2

3

4

5

6

1

-

-

-

-

-

2

1

-

-

-

-

3

1

-

-

-

-

4

6

4

1

-

-

5

10

10

5

1

-

6

15

20

15

6

1

7

21

35

35

21

7

8

28

56

70

56

28

9

36

84

126

126

84

10

45

120

210

252

210

11

55

165

330

462

462

12

66

220

495

792

924

13

78

286

715

1287

1716

14

91

364

1001

2002

3003

15

105

455

1365

3003

5005

16

120

560

1820

4368

8008

17

136

680

2380

6188

12376

18

153

816

3060

8568

18564

19

171

969

3876

11628

27132

20

190

1140

4845

15504

38760

21

210

1330

5985

20349

54264

22

231

1540

7315

26334

74613

23

253

1771

8855

33649

100947

24

276

2024

10626

42504

134596

25

300

2300

12650

53130

177100

26

325

2600

14950

65780

230230

27

351

2925

17550

80730

296010

28

378

3276

20475

98280

376740

29

406

3654

23751

118755

475020

30

435

4060

27405

142506

593775

31

465

4495

31465

169911

736281

32

496

4960

35960

201376

906192

33

528

5456

40920

237336

1107568

34

561

5984

46376

278256

1344904

35

595

6545

52360

324632

1623160

36

630

7140

58905

376992

1947792

37

666

7770

66045

435897

2324784

38

703

8436

73815

501942

2760681

39

741

9139

82251

575757

3262623

40

780

9880

91390

658008

3838380

41

820

10660

101270

749398

4496388

42

861

11480

111930

850668

5245786

43

903

12341

123410

962598

6096454

44

946

13244

135751

1086008

7059052

45

990

14190

148995

1221759

8145060

46

1035

15180

163185

1370754

9366819

47

1081

16215

178365

1533939

10737573

48

1128

17296

194580

1712304

12271512

49

1176

18424

211876

1906884

13983816

50

1225

19600

230300

2118760

15890700

51

1275

20825

249900

2349060

18009460

52

1326

22100

270725

2598960

20358520

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