What is the significance of the factorial symbol (n!) in permutations and combinations?

• It represents the sum of all positive integers up to n.

• It represents the product of all positive integers up to n, which is essential for calculating arrangements and selections.

• It is used to denote the number of ways to arrange n objects in a line.

• It indicates the number of combinations of n objects taken r at a time.

If you have 4 different books, how many ways can you arrange them?

• 12 ways

• 20 ways

• 24 ways

• 30 ways

What is 10! (10 factorial)?

• 3628800

• 40320

• 720

• 1000000

What is a permutation?

• A combination of objects without regard to the order.

• An arrangement of objects in a specific order. The order matters.

• A selection of objects where the order does not matter.

• A mathematical operation involving addition and subtraction.

How many ways can a coach arrange 10 players in a batting order?

• 1000000

• 3628800

• 5000000

• 10000000

What is a combination?

• A selection of objects where the order does not matter.

• A selection of objects where the order does matter.

• A method of arranging objects in a specific order.

• A mathematical operation involving addition and subtraction.

What is 7P2?

• 24

• 42

• 56

• 14

How do you calculate permutations?

• Permutations can be calculated using the formula nPr = n! / (n - r)!

• Permutations can be calculated using the formula nCr = n! / r!

• Permutations can be calculated by multiplying the total number of items by the number of arrangements.

• Permutations can be calculated using the formula nPr = r! / (n - r)!

How do you calculate combinations?

• Using the formula nCr = n! / (r! * (n - r)!)

• By adding the total number of items

• By multiplying the total number of items

• By subtracting the number of items to choose from the total

How many ways can 3 officers be chosen from 10 members?

• 120

• 360

• 720

• 1000