Understanding Permutations

What is the primary characteristic of permutations?

• All arrangements are identical

• Only one arrangement is possible

• Order matters

• Order does not matter

How many possible permutations are there for a lock with 5 wheels, each numbered 1 through 8?

• 8,000

• 32,768

• 64,000

• 16,384

In a race with 99 participants, how many permutations are there for the top three positions?

• 500,000

• 941,618

• 970,200

• 1,000,000

What is a factorial in the context of permutations?

• The average of all integers from 1 to n

• The difference between the largest and smallest integers

• The product of all integers from n down to 1

• The sum of all integers from 1 to n

Which type of permutation is used when the order of selection does not affect the outcome?

• Sequential permutation

• Independent permutation

• Random permutation

• Dependent permutation

What principle is used to calculate independent permutations?

• Division principle

• Subtraction principle

• Counting principle

• Addition principle

How do you calculate 7P3 using the shortcut method?

• 7 / 6 / 5

• 7 - 6 - 5

• 7 + 6 + 5

• 7 * 6 * 5

What is the first step in the shortcut method for calculating NPR?

• Create spaces equal to R

• Multiply the number of spaces

• Divide the number of spaces

• Add the number of spaces

In the shortcut method, what do you do after creating spaces equal to R?

• Start with R and count down

• Start with N and count down

• Start with N and count up

• Start with R and count up

What will be the next topic after permutations?

• Combinations

• Probability

• Statistics

• Algebra