Permutations and Combinations

What is the formula for permutations of n objects taken r at a time?

• n! / (n-r)!

• n! / (n-r)

• n! / r!

• n! * r!

Calculate P(5, 2)

• 20

• 25

• 15

• 10

In how many ways can you arrange the letters in the word 'MATH'?

• 12

• 24

• 6

• 18

What is the formula for combinations of n objects taken r at a time?

• C(n, r) = n! / r!

• C(n, r) = n! / r

• C(n, r) = n! / (r! * (n - r)!)

• C(n, r) = n! * r!

Calculate C(6, 3)

• 25

• 20

• 10

• 15

In how many ways can you choose 2 books from a shelf of 5 books?

• 7

• 15

• 3

• 10

Explain a real-life scenario where permutations are used.

• Applying permutations to calculate the number of possible outcomes in a dice game

• Utilizing permutations to design a seating arrangement for an event

• Using permutations to determine the best route for a delivery truck

• A real-life scenario where permutations are used is calculating the total number of possible combinations for a lock with a 4-digit code.

Explain a real-life scenario where combinations are used.

• Calculating the number of possible outfits using different clothing items

• Creating meal combos in a restaurant

• Determining the number of possible seating arrangements at a wedding

• Creating a playlist by selecting songs in a specific order

A committee of 4 members is to be formed from a group of 10 people. How many ways can this be done?

• 120

• 15

• 210

• 45

In how many ways can you select a team of 3 players from a group of 8 players?

• 24

• 45

• 56

• 36