Permutation and Combination Multiplication Rule
Example: A NBA Basketball team, Phoenix Sun roster consist of six Guards, four Fowards and three Centers. In how many ways can the coach select a starting line up of two guards, two Fowards and one Center?
Permutation and Combination Exercise
1) In sport house of 24 students, a first and second prize are to be awarded. In how many different ways can this be done?
2) In a room of 20, 12 are girls and the rest are boys. A student body of 2 prefects are to be elected. How many ways can they be chosen if:
a. Both prefects elected are girls
b. Both prefects elected are boys
c. 1 girl and 1 boy prefects
3) A fan club has 28 members. In how many ways can the president, web-designer and admin be chosen to form a committee of three?
4) In how many ways can a football team of 11 players be chosen from 30 people?
5) In how many ways can a committee of 7 be chosen from 9 office pairs if:
a. The committee must have 3 men and 4 women
b. No restriction are made
c. The committee are all elected by men
