Mathematics 1228A/B Final: Section 1.5 Sep 23, 2019

• School: Western University
• Department: Mathematics
• Course: Mathematics 1228A/B
• Professor: Vicki Olds

Document Summary

A subset of a speci ed size is called a combination. eg. combination of 2/5 objects means subset with (only exactly) 2 of the objects. #of permutations of k out of n objects. = # of ways to choose k of the n objects * #of permutations of the k chosen objects. So n!/(n-k)!=# of ways to choose k of n objects *k! #of ways to choose k out of n objects =1/k! For any non-negative integers n and k, with k <=n, The number of di erent ways of choosing a subset of k objects from of set of n distinct objects is in fact. The drama club is holding a lottery to raise money. They will draw 4 winning lottery tickets, and the owner of each winning ticket will receive a pair of vouchers which can be traded in for tickets to future dramatic performance by the drama club.