If at least 4 women must be on each commixee if

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: –  By the pigeonhole principle: 400 empty seats in 30 buses, one must have ⎡ྎ400/30 ⎤ྏ = 14 empty seats •  One of the buses will carry at least 67 passengers –  By the pigeonhole principle: 2000 passengers in 30 buses, one must have ⎡ྎ2000/30 ⎤ྏ = 67 passengers CSCE 235 Combinatorics 26 Outline •  Introduc5on •  Coun5ng: –  Product rule, sum rule, Principal of Inclusion Exclusion (PIE) –  Applica5on of PIE: Number of onto func5ons •  Pigeonhole principle –  Generalized, probabilis5c forms •  •  •  •  Permuta/ons Combina5ons Binomial Coefficients Generaliza5ons –  Combina5ons with repe55ons, permuta5ons with indis5nguishable objects •  Algorithms –  Genera5ng combina5ons (1), permuta5ons (2) •  More Examples CSCE 235 Combinatorics 27 Permuta5ons •  A permuta5on of a set of dis5nct objects is an ordered arrangement of these objects. •  An ordered arrangement of r elements of a set of n elements is call...
View Full Document

This note was uploaded on 10/31/2013 for the course CSCE 235 taught by Professor Staff during the Spring '08 term at UNL.

Ask a homework question - tutors are online