Permutation Basics
In a permutation, does order matter?
Yes!
Find the value: 3!
6
Calculate 4P2.
12
Four students line up for lunch. How many different orders are possible?
24
You choose 3 students to be on a committee. Is this a permutation?
no, order does not matter
Write the symbol is used to represent the number of permutations when choosing n things, taken r at a time?
see answer
Find the value: 4!
24
Calculate 6P3.
120
Five students are running a race. How many possible ways can they finish 1st and 2nd?
20
You choose a 1st-place and 2nd-place winner. Is this a permutation?
yes, the order matters
Which is a permutation: choosing 3 students for a team OR choosing 1st, 2nd, and 3rd place in a race?
race
Find the value: 6!
720
Calculate 7P3.
210
Six students are competing for 1st, 2nd, and 3rd place. How many possible outcomes are there?
120
You choose 4 pizza toppings. Is this a permutation?
no, the order does not matter
In 7P3 [can also be written as P(7, 3)], what does the seven mean?
total number of choices
Find the value: 0!+5!
121
Calculate 8P4. (Extra Time)
1,680
A teacher has 8 students and chooses a president, vice president, and secretary. How many different ways can the jobs be assigned?
336
You create a 4-digit code using different numbers. is this a permutation?
yes, the order matters
You have 6 students. You choose 3 of them and assign them to 1st, 2nd, and 3rd place. Is this a permutation? Explain why.
Yes, because the positions are different, so order matters.
What is 7! divided by 5!? (Extra Time)
42
Solve: P(9, 4) [Extra Time]
3,024
Seven runners compete in a race. How many different ways can 1st, 2nd, 3rd, and 4th place be awarded? (Extra Time)
840
You have 8 students. You need to choose 3 students and assign them to captain, assistant captain, and equipment manager. How many different ways can you do it? (Extra Time)
336