Show:
Basics
Just Permutations
Word Problmes
100
An arrangement of objects or symbols in a particular order.
What is a permutation?
100
5P2
What is 20? 5x4
100
Alexis, Cesar, and Alex are expert knitters. Each of them are knitting a hat and they want it to have 3 different colored stripes. They have 6 different colors of yarn. How many different hats can they knit?
What are 120 hats?
200
An arrangement in which________is important.
What is order?
200
3P1
What is 3?
200
Carlos's baseball team has 15 players. Find the number of different ways that the first, second, third, fourth and fifth batters can be chosen.
What is 360,360 ways?
300
The number of permutations of __ objects taken __ at a time.
What is n and r in that order?
300
100P2
What is 9,900? 100x99
300
You are given a list of 10 activities you can do after school. you are asked to pick your first, second, third,and fourth choices. How many different permutations are possible?
What is 5040 arrangements?
400
n! is equal to n*(n-1)*(n-2)*...1
What is factorial?
400
8P8
What is 40,320? 8x7x6x5x4x3x2x1
400
Your friend says that 11!=11x10!. Is your friend correct? Explain.
Yes; 11!=11x10x9x8x7x6x5x4x3x2x1=11x10!
500
A group of items whose order is not important.
What is a combination?
500
8P1
What is 8? 8x1
500
You choose a 6-letter password for your e-mail. Write an expression to represent the number of different passwords you could choose. Explain how this expression changes if you can use each letter only once.
26x26x26x26x26x26. If each letter is used only once, there would be one less letter available at each step, and the expression would change to 26x25x24x23x22x21.