Counting to 120 Math

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

• 5

• 25

• 4

• 5!

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

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

What is the value of 5!

• 25

• 15

• 120

• 720

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

• 5

• 3125

• 120

• 25

How many ways can six different books be arranged on a shelf if one of the books is a dictionary and it must be on an end?

• 720

• 120

• 3125

• 240

A committee of 4 students needs to be formed from a group of 10 students. How many different committees can be formed?

• 210

• 15

• 120

• 45

How many 3 digit numbers can be made out of 2,3,4,5,6 if repetitions are not allowed and it must be even.

• 36

• 60

• 6

• 120