Combinations, Permutations, Factorials

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

• 5

• 25

• 4

• 5!

How many different three-digit odd numbers can be formed using the digits in the set?

• 6.6.6

• 6.5.4

• 6.6.3

• 6.5.3

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 three-digit number is formed using the digits {0, 1, 2, 3, 4, 5}. How many different numbers can be formed?

• 6.6.6 = 216

• 6.5.4 = 120

• 5.6.6 = 180

• 5.4.3 = 60

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

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!

₁₂P₄

• 24

• 132

• 1320

• 11880

8!

• 120

• 720

• 5040

• 40320

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

• 5

• 3125

• 120

• 25