MATH 10- QUIZ II

Calculate the number of ways to choose 3 students from a group of 10.

• 90

• 60

• 150

• 120

Differentiate between combinations and permutations.

• Combinations: only unique items; Permutations: can repeat items.

• Combinations: order does not matter; Permutations: order matters.

• Combinations: order matters; Permutations: order does not matter.

• Combinations: used for ranking; Permutations: used for grouping.

If a committee of 4 is to be formed from 8 people, how many different committees can be formed?

• 70

• 60

• 80

• 50

In how many ways can you choose 2 fruits from a basket of 5 different fruits?

• 15

• 20

• 5

• 10

Explain why the order of selection does not matter in combinations.

• In combinations, each selection must be made in a predetermined order.

• The order of selection is crucial in combinations because it defines the outcome.

• The order of selection does not matter in combinations because the focus is on the group of items, not the sequence in which they are selected.

• Combinations require a specific sequence to ensure accurate results.

Calculate the number of combinations of 5 items taken 2 at a time.

• 15

• 10

• 5

• 20

If you have 6 books and want to choose 3 to take on vacation, how many combinations are possible?

• 20

• 30

• 15

• 10

Calculate the number of ways to choose 4 toppings from a selection of 10 for a pizza.

• 210

• 300

• 150

• 180

If you have 10 different shirts and want to choose 3 to take on a trip, how many combinations can you make?

• 120

• 30

• 90

• 60

The set of all possible outcomes of an experiment.

• Simple Events

• Sample Space

• Experiments

• Compound Events