Permutations and Combinations


Videos


As Simple as Counting Part 1

201

See How Its Done

404

As Simple as Counting Part 2

53

Introducing Permutations

193

To Repeat or Not to Repeat!

264

The Mighty nPr

325

Permutation with and without Repetition

71

n Things, Not All Different, Taken All at a Time

389

Some Solved Examples

421

Combinations

439

Mutinomial Theorem

391

Solved Examples on Multinomial Theorem Part 1

196

Solved Examples on Multinomial Theorem Part 2

246

Couple of Solved Ones Part 1

158

Couple of Solved Ones Part 2

195

A Tricky Question Solved

298

JEE Main Analysis

134

Permutation

155

Position of the word

199

An imporatant relation

93

Triangle

156

Possible divisors

60

Repetitions-1

121

Repetitions-2

221

Number of solutions

286

Combinations-1

136

Combinations-2

217

Subsets

141

Combination based on geometry

147

Arrangement

216

Distribution

140

Analysis of Advanced Paper

125

Geometry Models Part 1

185

Geometry Models Part 2

271

Geometry Models Part 3

187

Geometry Models Part 4

148

Geometry Models Part 5

135

Geometry Models Part 6

95

Geometry Models Part 7

190

Geometry Models Part 8

126

Geometry Models Part 9

65

Geometry Models Part 10

178

Geometry Models Part 11

119

Geometry Models Part 12

289

Formation of Groups Part 1

174

Formation of Groups Part 2

113

Formation of Groups Part 3

82

Formation of Groups Part 4

209

Formation of Groups Part 5

157

Formation of Groups Part 6

337

Formation of Groups Part 7

165

Formation of Groups Part 8

347

Total Selection Part 1

315

Total Selection Part 2

237

Total Selection Part 3

233

Total Selection Part 4

236

Circular Permutations Part 1

245

Circular Permutations Part 2

77

Circular Permutations Part 3

272

Circular Permutations Part 4

167

Circular Permutations Part 5

199

Circular Permutations Part 6

130

Derangement Part 1

57

Derangement Part 3

594

Derangement Part 4

77

Derangement Part 5

113

Derangement Part 6

399

Derangement Part 2

262

Introduction to Multiplication Rule of Counting

333

Multiplication Rule of Counting in Generalised Form

310

Introduction to Multiplication Rule of Counting

341

Multiplication Rule of Counting in Generalised Form

308

Introduction to Addition Rule of Counting

250

Addition Rule of Counting in Generalised Form

109

Factorial Notation

414

Restrictions on Factorial

73

Definition of Permutation

441

Mathematical Meaning of nPr

351

Combination

392

Selection followed by Arrangement

560

String Method

416

String Method

125

String Method

126

Gap Method

296

String Method

142

Gap Method Under Restriction

227

Gap Method Under Restriction

635

Introduction to Circular Permutations

650

Circular Permutation of 3 Distinct Objects

388

Circular Permutation of n Distinct Objects

344

Circular Permutation of n Distinct Objects

126

Restricted Circular permutations

363

Combinations Followed by Circular Permutation

186

Effects of Clockwise or Anticlockwise Direction

487

Formation of 2 Groups of Unequal Sizes

596

Formation of 2 Group of Unequal Size and Distribution

183

Formation of Two Groups of Equal Sizes

721

Formation of Two Group of Equal Size and Distribution

210

Selection from Distinct Elements in None, One or More Ways

694

Selection from Distinct Elements in None, One or More Ways using 2^n

521

Selection from Identical Elements of One Kind in None, One or More Ways

603

Total Selections of Identical Objects of More than One Kinds

967

Selection of at least One of Identical Objects of More than One Kinds

133

Selection of at least One of Identical Objects of More than One Kinds

595

Number of Lines from Non Collinear Points

416

Number of Lines using n Points in a Plane

405

Number of Triangles from Non-Collinear Points

232

Number of Triangles from n Points

159

Points of Intersection of Distinct Lines

599

Number of Diagonals in a Polygon

504

Distribution of n Distinct Items in m Boxes

507

Distribution of r Items from n Distinct Items in m Boxes

143

Identical Items to Distinct Boxes

508

Beggar's Method for None, One or More

291

Beggar's Method for Non Empty Box

223

Application of Fundamental Principle of Counting

570

Exponent of prime in n!

238

Application of Fundamental Principle of Counting

279

Properties of nPr Part-2

111

Properties of nPr Part-3

115

Properties of nCr Part-1

114

Properties of nCr Part-2

167

Permutation When Repetition of one item is allowed

461

Permutation When Some Objects are repeated

393

Formation of Groups of Unequal Sizes

319

Formation of Groups of Equal Sizes

259

Number of Divisors and Their Sum

158

Number as Product of Two Factors

367

Number as Product of Two Co-prime Factors

413

Number of Parallelograms and Squares

140

Inclusion and Exclusion

419

Derangements

594

Applications of Beggar's Method Part-1

299

Distinct Items to Distinct Boxes, None of the Boxes remain Empty

369

Combination under Restriction

238

"Permutation under Restricted Domain"

310

Rank of a word

701

Maximum Points of Intersection of Circles

75

Non Negative Integral Solutions for Inequalities

194

Derangements

57

Distinct Items to Distinct Boxes, None of the Boxes remain Empty(Using Inclusion/Exclusion)

240

Distinct Items to Distinct Boxes, None of the Boxes remain Empty(Using Formula )

463

Distinct Items to Distinct Boxes, None of the Boxes remain Empty(Using Formula )

62

Inclusion and Exclusion with 2 sets

99

Inclusion and Exclusion with n sets

78

Derangements

292

Formula of Derangements

699

Practice: Derangements

40

Practice: Derangements

43

Number of Parallelograms between parallel lines

168

Number of Square in Chess

563

Summary and Practice

49

Number of Triangles From the Vertices of a Polygon

165

Number of Triangles From One Side is Common With Polygon

258

Number of Triangles From Two Sides are Common With Polygon

144

Number of Triangles When No Sides are Common With Polygon

226

Summary and Practice

34

Maximum Points of Intersection of Unequal Circles

271

Maximum Points of Intersection of m lines and n circles

226

Practice: Geometrical Applications of PnC

25

Number of Divisors

453

Sum of Divisors

207

Number as Product of Two Factors

222

Number as Product of Two Coprime Factors

254

Practice: Divisors of a Number

52

Formation of 3 Groups of Unequal Size and Distribution

354

Formation of k Groups of Unequal Size and Distribution

80

Formation of 3 Groups of Equal Size

455

Formation of k Groups of Equal Size and Distribution

102

Revisiting Concepts of Formation of Groups

643

Inclusion and exclusion with 2 sets

73

Number of Rectangle in Chess

106

1369816

307

1369828

920

3297060

268

1369821

308

3297053

433

1126168

378

1374552

195

1131226

260

1131846

228

1133576

414

1369818

148

1134109

783

1139598

188

1354447

100

1354448

172

1354450

215

1354452

199

1354479

251

1354480

300

1354482

427

3161305

160

3161315

273

3265611

273

1354587

223

1354659

119

1354661

145

1354662

283

3261522

190

3261528

322

1362077

109

1362078

337

1362079

187

1362080

182

1362081

187

1362082

245

1362083

534

1362084

631

1362085

229

3260736

229

3265609

197

1362087

122

1362088

157

1362089

165

1362090

283

1362091

106

1362092

263

1362093

255

1362096

220

1362097

166

1362098

228

1362099

231

1362100

186

1362101

252

1362102

291

2848633

322

3294316

322

1362104

349

1362105

535

1362106

332

1362107

785

2848473

185

3277222

206

3288146

459

1364386

114

1364387

131

1364388

432

3277203

356

1364390

397

1364391

73

1364392

556

2849147

188

3294319

188

3277198

344

1364403

337

1364404

142

1364407

225

1364408

259

1364409

329

1364410

220

1364411

295

1364412

271

1364413

203

1364414

393

1364415

246

1364418

482

1364419

642

1364420

673

3277229

218

2848642

317

3277219

362

1365595

69

1365596

192

1365597

312

1365598

160

1365599

249

1365600

545

1365601

347

1365602

505

3277763

233

2849143

202

3294301

202

1365988

121

1365990

199

1365992

174

1365993

519

1365995

325

1365997

84

1365999

250

1366000

231

1366003

133

1366005

228

1366008

228

1366009

243

1366010

198

1366011

302

1366013

245

1366017

365

1366019

275

1366022

391

1366024

206

1366027

725

1366029

651

1366032

426

3277772

128

3277774

208

2849149

303

1366243

444

1369642

567

1369643

292

1369645

309

1369646

369

1369647

237

1369648

277

3294667

431

1369809

126

1369811

357

1369814

302

1369815

262

1369824

642

1369826

571

1369842

483

3294765

125

3294799

103

3295114

130

1372551

120

1372553

483

1372554

211

1372555

386

1372556

445

1372557

276

1372558

505

1771562

505

1372559

297

3294610

425

3295165

241

1372589

300

1372590

85

1372591

196

1372592

186

1372596

213

1372593

217

1372597

228

1372595

364

3295122

346

1372599

128

1372600

236

1372607

166

1372609

381

1372612

499

1372611

539

1372613

735

1372614

365

3295166

191

3295124

381

3295162

291

3295167

371

1374421

274

1374423

168

1374426

224

1374427

239

1374428

301

1374429

314

3297034

107

3297040

143

3295161

200

1374535

115

1374536

146

1374537

149

1374539

99

1374540

223

1374541

105

1374542

219

1374545

180

1374546

228

1374548

142

1374549

160

1374551

178

1374557

116

1374558

212

1374559

497

3297050

270

3295168

205

3295169

290

1376067

239

1376069

281

1376071

167

1376072

253

1376073

628

1376075

380

3297063

202

3297066

170

3297640

302

1376081

169

1376085

212

1376086

271

1376087

226

1376088

238

1376091

171

1376092

279

1376093

377

1376094

366

1376095

326

1376096

250

1376097

310

1376099

180

1376100

181

1376101

382

1376102

181

1376103

822

1376105

789

3297650

75

3297654

111

3297048

242

1378592

179

1378593

94

1378594

209

1378595

243

1378596

259

1378597

337

1378599

693

1378600

356

1378601

167

3307609

167

3297644

548

1378964

365

1378965

387

1378966

390

1378967

666

1378968

329

1378969

178

1378970

307

1378980

311

1378981

284

1378982

340

1378983

500

3297659

81

3297662

75

3297664

340

1378988

139

3297671

255

1382168

304

1382169

365

1382170

248

1382172

392

1382173

417

1382174

369

1382175

477

1382176

347

3307610

347

1382177

269

3312245

269

1382275

242

1382276

403

1382277

228

1382279

426

1382280

387

1382281

341

1382282

217

1382283

367

1382284

342

1382285

308

1382286

201

1382287

291

1382288

558

1382289

372

1382293

867

1382294

648

1382295

638

1382296

193

1382297

199

1382298

169

1382299

215

1382300

275

1384234

541

1384235

324

1384236

381

1384239

354

1384240

369

1384241

127

3323126

125

3323127

341

1384255

342

1384257

189

1384263

478

3332497

203

Number of Rectangle in Chess

106