Combinatorics Challenge

Test your knowledge of combinatorics with this quiz! Answer questions on permutations, combinations, and more.

published on June 27
1/10

How many different ways can you arrange the letters in the word 'COMBINE'?

How many different ways can you arrange the letters in the word 'COMBINE'?
720
120
360
5040
2/10

In how many ways can you select 3 books from a shelf of 10 books?

120
720
3/10

What is the number of combinations of 5 items taken 2 at a time?

10
15
20
25
4/10

How many different 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 without repetition?

How many different 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 without repetition?
3024
5040
40320
720
5/10

What is the number of ways to arrange the letters of the word 'SUCCESS'?

What is the number of ways to arrange the letters of the word 'SUCCESS'?
5040
720
360
120
6/10

How many 3-digit numbers can be formed using the digits 1, 2, 3, 4 without repetition?

How many 3-digit numbers can be formed using the digits 1, 2, 3, 4 without repetition?
48
24
12
60
7/10

What is the number of ways to select a committee of 4 people from a group of 10?

30
210
45
126
8/10

How many ways can you arrange the letters in the word 'COMBINE' without the vowels together?

How many ways can you arrange the letters in the word 'COMBINE' without the vowels together?
360
5040
720
120
9/10

What is the number of ways to choose a 3-person team from a group of 7?

What is the number of ways to choose a 3-person team from a group of 7?
35
21
15
28
10/10

How many ways can you arrange the digits in the number 1234?

How many ways can you arrange the digits in the number 1234?
24
12
6
18