Exploring Permutations

What is a permutation?

• A permutation is a random selection of objects.

• A permutation is a method of grouping objects into sets.

• A permutation is a combination of objects without regard to order.

• A permutation is an ordered arrangement of a set of objects.

How many permutations can be formed from the letters of the word 'MATH'?

• 12

• 6

• 18

• 24

Calculate the number of permutations of 5 objects taken 3 at a time.

• 60

• 15

• 120

• 30

If a set has 4 elements, how many permutations can be formed?

• 16

• 20

• 12

• 24

What is the formula for calculating permutations?

• P(n, r) = n! / (n - r)!

• C(n, r) = n! / (r! (n - r)! )

• P(n, r) = n! + (n - r)!

• P(n, r) = n! * r!

Explain the difference between permutations and combinations.

• Permutations are used for grouping; combinations for arranging.

• Combinations involve order; permutations do not.

• Permutations and combinations are the same.

• Permutations involve order; combinations do not.

How many ways can 3 students be arranged in a line?

• 6

• 9

• 3

• 12

If you have 6 different books, how many ways can you arrange them on a shelf?

• 120

• 60

• 720

• 360

What is the number of permutations of the word 'LEVEL'?

• 30

• 15

• 40

• 25

How do you calculate permutations when some items are identical?

• P(n; n1, n2, ..., nk) = n! / (n1! * n2! * ... * nk!)

• P(n) = n! / n1!

• P(n; n1, n2) = n! + (n1! * n2!)

• P(n; n1, n2) = n! - (n1! + n2!)