Problems Based on Combinations

What is the key factor in deciding whether to use permutations or combinations?

• The total number of possible outcomes

• The number of items involved

• Whether the order of items matters

• Whether the items are identical

In a restricted combination, what is a common condition that might be applied?

• Items must be arranged in a specific order

• A specific item must be included

• No items can be repeated

• All items must be used

How many ways can you select one or more objects from a set of distinct objects?

• n^2

• 2^n

• 2^n - 1

• n!

When dealing with non-distinct objects, how is the number of ways to select them calculated?

• Using the formula n!

• Using the formula 2^n

• Using the formula p1 + 1 times p2 + 1, etc.

• Using the formula n^2

What is the formula for dividing n objects into two groups of p and q?

• p + q factorial over p factorial times q factorial

• p! + q!

• p + q

• p + q!

How do you calculate the number of ways to divide objects into three groups?

• Using the formula p + q + r!

• Using the formula p + q + r

• Using the formula p + q + r factorial over p factorial times q factorial times r factorial

• Using the formula p! + q! + r!

What is the general method for dividing objects into k groups?

• Using the formula p1 + p2 + ... + pk!

• Using the formula p1 + p2 + ... + pk factorial over p1 factorial times p2 factorial times ... pk factorial

• Using the formula p1 + p2 + ... + pk

• Using the formula n!