Unit 4 – Combinatorics and Probability Section 4 Unit 4 – Combinatorics and Probability Section 4.2 – Permutations and Combinations Calculator Required

Permutation – The number of ways to ARRANGE ‘n’ items ‘r’ at a time with no restriction. Combination – The number of ways to CHOOSE ‘n’ items ‘r’ at a time with no restriction.

A club has 15 members. How many different ways can: A president, vice-president, and treasurer be selected? Three officers be selected?

A bag contains six white, four red and two blue balls. If four are drawn, how many ways are there to choose: 3 white and 1 red balls? 2 red and 2 blue balls? 4 red balls?

A bag contains six white, four red and two blue balls. If four are drawn, how many ways are there to choose: at least three red balls? three red balls OR four red balls CALCULATORS AWAY FOR THE DAY at least one white ball? one white OR two white OR three white OR four white

How many different committees of 3 people can be formed from a pool of seven people? In how many ways can a committee consisting of two faculty members and three students can be formed if six faculty members and ten students are eligible to serve on the committee?

In a standard deck of cards, how many ways are there to get three of a kind in a five card hand? In a standard deck of cards, how many ways are there to get a flush (5 of the same suit) in a five card hand? In a standard deck of cards, how many ways are there to get two pairs in a five card hand?