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WorksheetsPermutation and Combination
Total questions: 20
Worksheet time: 3hrs 20mins
A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?
The batting order for seven players on a 12 person team.
Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.
There are 45 applicants for three Computer Programmer job positions.
A team of 8 basketball players need to choose a co-captain and captain.
How many ways can a club select a president, vice president, and a secretary from a group of 5 people?
12
60
15
125
Selecting a lead and an understudy for a school play.
John wants to visit 7 countries. There are 7 African countries, 6 European countries and 5 Asian countries to choose from. How many ways can John visit the 7 countries if he must visit at least 2 of the countries in each continent?
(a)
There are 8 boys and 6 girls. How many ways can we arrange the boys and girls in such a way that no two girls will be side by side?
(a)
There are 6 books from author A, 3 books from author B and 8 books from author C. How many ways can the books be arranged such that the books from author B and C are grouped together.
(a)
There are six numbers 1, 2, 3, 4, 5, 6. How many 4 digits numbers can be formed from using the six numbers with no repeats, such that the numbers is above 2000 and odd?
(a)
There are 3 different apartments in a building. One apartment can house 5 people, one apartment can house 4 people and the last apartment can house 3 people. A group of 12 people would like to be housed in the 3 apartments. How many ways can the selection of the people be done to house them in the apartments?
(a)
