Probability (5)

5 4 3 60 5p 3 5 3 distinguishable permutations

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: (n ! r )! (n ! r ) " (n ! r ! 1) " ... " 2 "1 The number of arrangements of 3 people in a line choosing from 5 people is 5! = 5 " 4 " 3 = 60 . 5P = 3 (5 ! 3)! Distinguishable Permutations of n objects where n1, n2, … nk are types of objects There are 11! 11 ! 10 ! 9 ! 8 ! 7 ! 6 ! 5 11 ! 10 ! 9 ! 7 ! 5 = = = 34650 possible distinguishable 1!! 4 !! 4 !! 2! 4 ! 3 ! 2 !1 ! 2 !1 1 arrangements of the letters in the word MISSISSIPPI. Combination of a group of r objects from a group of n objects without regard to order n! n " (n ! 1) " ... " 2 "1 = n Cr = (n ! r )! r ! (n ! r ) " (n ! r ! 1) " ... " 2 "1 " r " (r ! 1) " ... " 2 "1 There are 52 C5 = 52! 52 " 51 " 50 " 49 " 48 52 " 51 "10 " 49 " 2 = = = 2598960 (52 ! 5)! 5! 5 " 4 " 3 " 2 "1 1 Homework: Section 5.1: 1-10, 14, 17, 21, 27, 29, 33 Section 5.2: 1-4, 5, 7, 11, 13, 15, 17, 21, 29, 31 Section 5.3: 1-6, 7, 9, 13, 17, 29 Section 5.4: 1-5, 11, 13, 31, 37 Section 5.5: 1-4, 5, 9, 11, 13, 15, 19, 25, 29, 31, 41, 51, 67...
View Full Document

This document was uploaded on 03/28/2014.

Ask a homework question - tutors are online