Combinations in Mathematics

What is the number of ways to choose 3 objects from a set of 5 distinct objects?

• 10

• 15

• 5

• 20

In how many ways can a committee of 4 members be formed from a group of 10 people?

• 210

• 120

• 45

• 100

If you have 8 different books and you want to choose 2 to take on a trip, how many combinations are possible?

• 28

• 64

• 56

• 36

Which of the following represents the combination formula?

• n! / (r!(n-r)!)

• n! / r!

• n + r

• n - r

How many different ways can you select 2 fruits from a basket containing an apple, a banana, and a cherry?

• 3

• 6

• 4

• 5

If a class of 12 students is to be divided into groups of 3, how many different groups can be formed?

• 220

• 495

• 144

• 120

Which of the following scenarios is best described by combinations rather than permutations?

• Arranging books on a shelf

• Selecting a team for a quiz competition

• Assigning seats in a classroom

• Determining the order of finishers in a race

How many ways can you choose 5 toppings from a list of 8 available pizza toppings?

• 56

• 80

• 128

• 32

What is the combination of 6 items taken 2 at a time?

• 15

• 12

• 20

• 30

If a box contains 4 red balls and 6 blue balls, how many ways can you choose 3 balls of any color?

• 120

• 60

• 80

• 100