Factorials and Permutations

What is the number of permutations of 5 different math books piled on a table?

• 5

• 25

• 4

• 5!

Nicole has four different skirts, three different blouses and two pairs of shoes which she can wear for a business meeting. In how many ways can Nicole dress for the meeting?

• 9

• 12

• 18

• 24

A four-digit number is formed using the digits in the set {1, 2, 3, 4, 5, 6}. How many numbers can be formed if no digit can be used more than once?

• 6! = 720

• 6⁴ = 1296

• 6.5.4.3 = 360

Aleks has 5 different math books, 3 different biology books and 4 different physics books. In how many different ways can Aleks arrange his books on a book shelf?

• 5!.3!.4!

• 12!

• 5.3.4

• 5 + 3 + 4

What is the value of 8!

• 40320

• 36

• 362880

• 5040

Calculate the following:

₁₂P₅

Mathematical Equivalence

ON

Ivan has 4 different math books, 2 different biology books and 3 different physics books. In how many different ways can Ivan arrange his books in three different file holders, if each holder is for a different subject?

• 4.2.3

• 4!.2!.3!

• 4!.2!.3!.3!

• 4 + 2 + 3

P(7, 3) = ?

• 210

• 35

• 7!

• 1

• 9

• 8

• 2

How many ways can all the letters in the word "MARY" can be arranged without repetition?

• 4

• 24

• 0

• 1