Permutations Quiz

Calculate the number of permutations with replacement for the word 'MATH' if each letter can be used more than once.

• 6

• 120

• 24

• 256

Find the number of permutations with replacement for the letters A, B, C, and D if each letter can be used more than once.

• 256

• 120

• 24

• 10

Determine the number of permutations with replacement for the numbers 1, 2, 3, and 4 if each number can be used more than once.

• 16

• 64

• 24

• 256

What is the formula for calculating permutations with replacement?

• n! / (n-r)!

• n! / r!

• n^r

• n * (n-r)

Solve for the number of permutations with replacement for the letters X, Y, and Z if each letter can be used more than once.

• 18

• 6

• 12

• 27

Calculate the number of permutations without replacement for the word 'MATH' if each letter can only be used once.

• 24

• 12

• 48

• 6

Find the number of permutations without replacement for the letters A, B, C, and D if each letter can only be used once.

• 12

• 6

• 24

• 10

Determine the number of permutations without replacement for the numbers 1, 2, 3, and 4 if each number can only be used once.

• 24

• 8

• 6

• 12

What is the formula for calculating permutations without replacement?

• nPr = n! + (n - r)!

• nPr = n! / (n - r)!

• nPr = n! * (n - r)!

• nPr = n! / r!

Solve for the number of permutations without replacement for the letters X, Y, and Z if each letter can only be used once.

• 2

• 3

• 6

• 12