5. Quantitative Reasoning

Combinatorics — Quiz

Test your understanding of combinatorics with 5 practice questions.

Read the lesson first

Practice Questions

Question 1

How many ways can you arrange $6$ different books on a shelf?

Question 2

In how many ways can you choose $4$ students from a group of $10$?

Question 3

If a committee of $5$ is to be formed from $12$ people, how many different committees can be formed?

Question 4

How many ways can you select $3$ toppings from a list of $8$ available toppings?

Question 5

Using the pigeonhole principle, if there are $15$ socks in a drawer consisting of $5$ black, $5$ white, and $5$ blue socks, what is the minimum number of socks you must pull out to guarantee at least one pair of the same color?