Exploring Permutations and Combinations in Algebra 2

What does a permutation specifically refer to in combinatorics?

• A method to calculate probabilities

• A grouping of elements based on type

• A selection of items without regard to order

• An ordered arrangement of elements

What distinguishes a combination from a permutation?

• Combinations are only used in probability

• Only permutations involve selection

• Order does not matter in combinations

• Combinations use factorial calculations

How is a factorial represented and calculated for a number 4?

• 4 * 3 * 2 * 1

• 4 + 3 + 2 + 1

• 4 / 3 / 2 / 1

• 4 ^ 3 ^ 2 ^ 1

What does the permutation formula calculate?

• The difference between two factorial values

• The total possible combinations of a set

• The sum of all elements in a set

• The number of ways to arrange a subset of a set

What is the significance of the factorial in permutations?

• It finds the highest value element

• It determines the total arrangements of all elements

• It adds all elements together

• It subtracts one element from another

What is the result of 5 factorial divided by 2 factorial for the word 'Apple'?

• 60

• 240

• 120

• 30

In the context of permutations, what does 'distinguishable' imply?

• Order of elements is irrelevant

• Elements can be swapped without creating a new permutation

• Each permutation is unique regardless of element order

• All elements are different and order matters

How many ways can three ice cream flavors be chosen from seven available?

• 35

• 21

• 28

• 42

What is the probability that your float will be first and the school choir float second in a parade of 12 floats?

• 1 in 24

• 1 in 12

• 1 in 144

• 1 in 132

Using Pascal's triangle, what is 6 choose 4?

• 15

• 20

• 10

• 6