Understanding Combinations and Permutations

What is the primary difference between combinations and permutations?

• Both consider order.

• Neither consider order.

• Combinations consider order, permutations do not.

• Permutations consider order, combinations do not.

In the appetizer example, why are duplicate combinations removed?

• Because they are not allowed.

• Because order does not matter in combinations.

• Because they are incorrect.

• Because they are not possible.

How is the combination formula represented mathematically?

• nPr = n! / r!

• nCr = n! / r!

• nCr = n! / (r!(n-r)!)

• nPr = n! / (n-r)!

What is the result of 7C2 using the combination formula?

• 14

• 21

• 28

• 35

When solving a combination problem, what is the shortcut method?

• Start at n, count up r numbers, and multiply.

• Start at r, count up n numbers, and multiply.

• Start at r, count down n numbers, and multiply.

• Start at n, count down r numbers, and multiply.

In which scenario would you use a permutation instead of a combination?

• Choosing ice cream flavors.

• Arranging books on a shelf.

• Picking lottery numbers.

• Selecting a team of players.

How many different entourages can Juette have if she chooses 5 out of 14 VIPs?

• 84

• 504

• 1320

• 2002

Why is the order important in a horse show competition?

• Because the order determines the prize money.

• Because the order is predetermined.

• Because the order is irrelevant.

• Because all horses win the same prize.

What is the result of 320C6 in the film festival example?

• 1,814,400

• 84

• 1,533,615,890,000

• 504

How many batting orders are possible with 10 players on a baseball team?

• 1,533,615,890,000

• 1,814,400

• 504

• 84