2. Probability Theory

Combinatorics — Quiz

Test your understanding of combinatorics with 5 practice questions.

Practice Questions

Question 1

A group of $10$ friends wants to play a game that requires forming pairs. How many different pairs can be formed from the group?

Question 2

In a lottery, a player must choose $6$ distinct numbers from $1$ to $49$. How many different combinations of $6$ numbers are possible?

Question 3

A license plate consists of $3$ letters followed by $3$ digits. If repetition of letters and digits is allowed, how many different license plates are possible?

Question 4

How many distinct permutations can be made from the letters of the word 'BOOKKEEPER'?

Question 5

A committee of $5$ members is to be chosen from a group of $8$ men and $7$ women. How many ways can the committee be formed if it must consist of exactly $3$ men and $2$ women?