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								id: 5900f3a11000cf542c50feb4
							 
						 
					
						
							
								
									
										
										
										
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								challengeType: 5
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								title: 'Problem 53: Combinatoric selections'
							 
						 
					
						
							
								
									
										
										
										
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								videoUrl: ''
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								localeTitle: 'Problema 53: selecciones combinatorias'
							 
						 
					
						
							
								
									
										
										
										
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								## Description
  
						 
					
						
							
								
									
										
										
										
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								< section  id = "description" >  Hay exactamente diez formas de seleccionar tres de cinco, 12345: 123, 124, 125, 134, 135, 145, 234, 235, 245 y 345 En combinatoria, usamos la notación, 5C3 = 10. En general, < p >  nCr = n! r! (n − × − × × × × < / p > < p >  No es hasta n = 23, que un valor excede de un millón: 23C10 = 1144066. ¿Cuántos, no necesariamente distintos, valores de nCr, para 1 ≤ n ≤ 100, son mayores que un millón? < / p > < / section >  
						 
					
						
							
								
									
										
										
										
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								## Instructions
  
						 
					
						
							
								
									
										
										
										
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								< section  id = "instructions" >  
						 
					
						
							
								
									
										
										
										
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								< / section >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								## Tests
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								< section  id = 'tests' >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								```yml
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								tests:
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								  -  text: < code > combinatoricSelections(1000)</ code >  deben devolver 4626.
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								    testString: 'assert.strictEqual(combinatoricSelections(1000), 4626, "< code > combinatoricSelections(1000)< / code >  should return 4626.");'
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								  -  text: < code > combinatoricSelections(10000)</ code >  deben devolver 4431.
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								    testString: 'assert.strictEqual(combinatoricSelections(10000), 4431, "< code > combinatoricSelections(10000)< / code >  should return 4431.");'
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								  -  text: < code > combinatoricSelections(100000)</ code >  deben devolver 4255.
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								    testString: 'assert.strictEqual(combinatoricSelections(100000), 4255, "< code > combinatoricSelections(100000)< / code >  should return 4255.");'
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								  -  text: < code > combinatoricSelections(1000000)</ code >  deben devolver 4075.
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								    testString: 'assert.strictEqual(combinatoricSelections(1000000), 4075, "< code > combinatoricSelections(1000000)< / code >  should return 4075.");'
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								< / section >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								## Challenge Seed
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								< section  id = 'challengeSeed' >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								< div  id = 'js-seed' >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								```js
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								function combinatoricSelections(limit) {
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								  // Good luck!
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								  return 1;
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								}
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								combinatoricSelections(1000000);
							 
						 
					
						
							
								
									
										
										
										
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								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								< / div >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								< / section >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								## Solution
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								< section  id = 'solution' >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								```js
							 
						 
					
						
							
								
									
										
										
										
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								// solution required
							 
						 
					
						
							
								
									
										
										
										
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								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
								
									
								 
							
							
								< / section >