Exploring Permutations and Combinations

What is a permutation?

• An arrangement where order does not matter

• An arrangement where order is crucial

• A combination of different elements

• A type of mathematical function

How many different ways can you arrange the letters 'A', 'B', and 'C'?

• 12

• 6

• 9

• 3

What does '5 factorial' represent?

• 5 multiplied by itself

• The division of the first 5 positive integers

• The product of the first 5 positive integers

• The sum of the first 5 positive integers

In a club with 4 members, how many ways can the positions of president and vice president be filled?

• 16

• 12

• 8

• 6

What is the difference between permutations and combinations?

• Combinations consider order, permutations do not

• Permutations consider order, combinations do not

• There is no difference

• Permutations are for numbers, combinations are for letters

If you have 12 players and need to choose 5, how many combinations are possible?

• 60

• 792

• 120

• 252

Using 7 choose 3, what result do you obtain?

• 21

• 84

• 35

• 56

How many different seven topping pizzas can you make from 11 options?

• 330

• 210

• 120

• 45

For a committee of 16 people, how many ways can you select a president, vice president, and treasurer?

• 3360

• 560

• 720

• 120

What is the result of 3 choose 2 when order does not matter?

• 3

• 1

• 6

• 2