% %ȉ̕RgƂ̂łC_ł͂܂ł܂B
% ̃^Cg
[Title]
nCr(nr傫)

% 蕶
% Ȃ΁C[Level1]ɏ̂̂܂ܖ蕶ƂȂB
[Problem]
̒l߂B

% tHg̑傫B1`10C܂TeX̃R}hw肷B
% ftHǵC5i\normalsizej
% 1\tinyC 2\scriptsizeC3\footnotesizeC4\smallC 5\normalsize
% 6\largeC7\LargeC     8\LARGEC       9\hugeC 10\Huge
[FontSize]
5

% vAuɒǉpbP[Wt@Cw肷B
[usepackage]
\usepackage{amssymb}

% ꂼ̖𓚂$\displaystyle $tꍇ́C@ON ܂1
% ꂼ̖𓚂$\displaystyle $tȂꍇ́COFF܂0
% up̕ҏWv|u[U[ݒv̉ɂݒ
% @@@@@@@@@@@@@@@@@ꍇɎw肵ĂB
% LqȂ΁Cup̕ҏWv|u[U[ݒv
% @@@@@@@@@@@@@@@@@@@ɂݒ肪D悳܂B
[displaystyle]
OFF


% Level1̖BȉLevel7܂œlB
% 1sڂɂ͏ڍאݒ̃^CgB
% 2sڈȍ~ɖƂ̉𓚂B
% Ɖ𓚁C𓚂Ɩ͂PsďB
% vZߒꍇ́CƉ𓚂̊ԂɂPsԊuC
% ŏprocessƂsC̎̍svZߒĂB
[Level1]
n100܂


$_{100} \mathrm{C}_{99}$

100

$_{100} \mathrm{C}_{98}$

4950

$_{90} \mathrm{C}_{89}$

90

$_{90} \mathrm{C}_{88}$

4005

$_{80} \mathrm{C}_{79}$

80

$_{80} \mathrm{C}_{78}$

3160

$_{70} \mathrm{C}_{69}$

70

$_{70} \mathrm{C}_{68}$

2415

$_{60} \mathrm{C}_{59}$

60

$_{60} \mathrm{C}_{58}$

1770

$_{50} \mathrm{C}_{49}$

50

$_{50} \mathrm{C}_{48}$

1225

$_{40} \mathrm{C}_{39}$

40

$_{40} \mathrm{C}_{38}$

780

$_{30} \mathrm{C}_{29}$

30

$_{30} \mathrm{C}_{28}$

435

$_{20} \mathrm{C}_{19}$

20

$_{20} \mathrm{C}_{18}$

190

$_{10} \mathrm{C}_{9}$

10

$_{10} \mathrm{C}_{8}$

45

$_{101} \mathrm{C}_{100}$

101

$_{101} \mathrm{C}_{99}$

5050

$_{91} \mathrm{C}_{90}$

91

$_{91} \mathrm{C}_{89}$

4095

$_{81} \mathrm{C}_{80}$

81

$_{81} \mathrm{C}_{79}$

3240

$_{71} \mathrm{C}_{70}$

71

$_{71} \mathrm{C}_{69}$

2485

$_{61} \mathrm{C}_{60}$

61

$_{61} \mathrm{C}_{59}$

1830

$_{51} \mathrm{C}_{50}$

51

$_{51} \mathrm{C}_{49}$

1275

$_{41} \mathrm{C}_{40}$

41

$_{41} \mathrm{C}_{39}$

820

$_{31} \mathrm{C}_{30}$

31

$_{31} \mathrm{C}_{29}$

465

$_{21} \mathrm{C}_{20}$

21

$_{21} \mathrm{C}_{19}$

210

$_{11} \mathrm{C}_{10}$

11

$_{11} \mathrm{C}_{9}$

55



[Level2]
n200ȏ



$_{200}\mathrm{C}_{199}$

200

$_{200}\mathrm{C}_{198}$

19900

$_{300}\mathrm{C}_{299}$

300

$_{300}\mathrm{C}_{298}$

44850

$_{400}\mathrm{C}_{399}$

400

$_{400}\mathrm{C}_{398}$

79800

$_{500}\mathrm{C}_{499}$

500

$_{500}\mathrm{C}_{498}$

124750

$_{600}\mathrm{C}_{599}$

600

$_{600}\mathrm{C}_{598}$

179700

$_{700}\mathrm{C}_{699}$

700

$_{700}\mathrm{C}_{698}$

244650

$_{800}\mathrm{C}_{799}$

800

$_{800}\mathrm{C}_{798}$

319600

$_{900}\mathrm{C}_{899}$

900

$_{900}\mathrm{C}_{898}$

404550

$_{1000}\mathrm{C}_{999}$

1000

$_{1000}\mathrm{C}_{998}$

499500

$_{201}\mathrm{C}_{200}$

201

$_{201}\mathrm{C}_{199}$

20100

$_{301}\mathrm{C}_{300}$

301

$_{301}\mathrm{C}_{299}$

45150

$_{401}\mathrm{C}_{400}$

401

$_{401}\mathrm{C}_{399}$

80200

$_{501}\mathrm{C}_{500}$

501

$_{501}\mathrm{C}_{499}$

125250

$_{601}\mathrm{C}_{600}$

601

$_{601}\mathrm{C}_{599}$

180300

$_{701}\mathrm{C}_{700}$

701

$_{701}\mathrm{C}_{699}$

245350

$_{801}\mathrm{C}_{800}$

801

$_{801}\mathrm{C}_{799}$

320400

$_{901}\mathrm{C}_{900}$

901

$_{901}\mathrm{C}_{899}$

405450

$_{1001}\mathrm{C}_{1000}$

1001

$_{1001}\mathrm{C}_{999}$

500500





[Level3]


[Level4]



[Level5]



[Level6]


[Level7]




[EOF]

