Exploring Counting Techniques: Factorials, Permutations, and Combinations

What does 8 factorial (8!) represent?

• The division of all numbers from 1 to 8

• The product of all numbers from 1 to 8

• The sum of all numbers from 1 to 8

• The subtraction of all numbers from 1 to 8

What is the result of 4 factorial (4!)?

• 20

• 16

• 24

• 12

In permutations, what does the order of selection signify?

• It is irrelevant

• It determines the value of the permutation

• It changes the total number of outcomes

• It is crucial for determining the arrangement

How many ways can 11 employees be arranged for 3 top bonuses?

• 1020

• 1000

• 990

• 1100

What does a combination represent?

• A selection where order matters

• A selection where order does not matter

• A repetitive selection

• An ordered arrangement

How many different groups of 4 can be chosen from 7 members?

• 35

• 40

• 50

• 45

What is the difference between permutations and combinations?

• Permutations require division, combinations do not

• Combinations require subtraction, permutations do not

• Order matters in permutations but not in combinations

• There is no difference

Which lock is more secure based on possible combinations?

• The lock with 5 wheels numbered 1 through 8

• Cannot be determined

• The traditional master combination lock

• Both are equally secure

How many different meal combinations are possible from the given options?

• 2,100

• 2,300

• 2,000

• 2,200

What principle is used to calculate the number of possible combinations for the meal?

• Division principle

• Multiplication principle

• Subtraction principle

• Addition principle