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WorksheetsPermutations and Combinations
Total questions: 21
Worksheet time: 1hrs 6mins
Selecting a lead and an understudy for a school play.
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.
The batting order for seven players on a 12 person team.
Find the number of ways to form a team of three players for a game out of a group of 10 individuals.
There are 45 applicants for three Computer Programmer job positions.
Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.
5
3125
120
25
How many ways can a club select a president, vice president, and a secretary from a group of 5 people?
12
60
15
125
A group of 25 people are going to run a race. The top 8 finishers advance to finals.
In Cornville, bicycle license plates have 2 letters followed by a 1-digit number. How many different license plates are possible?
6760
62
2600
6084
At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. Each pizza can only have 1 meat, 1 cheese, 1 crust, and 1 sauce. How many different pizzas do you have to choose from?
32
192
40,320
51,200
When three-digit telephone area codes were first put in place, the first number could be any digit (2-9), the second number could only be 0 or 1, and the third could be any digit (0-9). How many possible area codes can be created with this format?
24
126
140
160
