Combinations Basics (Advanced Pure Math)

  • 9th Grade
Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Thames
T
Thames
Community Contributor
Quizzes Created: 7387 | Total Attempts: 9,527,791
| Questions: 10 | Updated: Nov 12, 2025
Please wait...
Question 1 / 10
0 %
0/100
Score 0/100
1) Find C(0, 0)

Explanation

The number of ways to choose 0 items from 0 is 1.

Submit
Please wait...
About This Quiz
Combinations Basics (Advanced Pure Math) - Quiz

Go beyond the basics! This quiz dives deeper into combination problems that stretch logical thinking and require more advanced reasoning. Try this quiz to challenge yourself and refine your mastery of pure math applications.

2)
You may optionally provide this to label your report, leaderboard, or certificate.
2) Find C(8, 7)

Explanation

Using the identity C(n, n−1) = n, so 8 choose 7 = 8.

Submit
3) Find C(10, 0)

Explanation

C(n, 0) = 1 for any n.

Submit
4) Find C(12, 1)

Explanation

C(n, 1) = n, so 12 choose 1 = 12.

Submit
5) Find C(9, 2)

Explanation

C(9, 2) = 9×8 ÷ 2×1 = 36.

Submit
6) Find C(15, 3)

Explanation

C(15, 3) = 15×14×13 ÷ 3×2×1 = 455.

Submit
7) Find C(11, 4)

Explanation

C(11, 4) = 11×10×9×8 ÷ 4×3×2×1 = 330.

Submit
8) Find C(20, 1)

Explanation

C(n, 1) = n, so 20 choose 1 = 20.

Submit
9) Find C(13, 13)

Explanation

C(n, n) = 1.

Submit
10) Find C(10, 5)

Explanation

C(10, 5) = 10×9×8×7×6 ÷ 5×4×3×2×1 = 252.

Submit
×
Saved
Thank you for your feedback!
View My Results
Cancel
  • All
    All (10)
  • Unanswered
    Unanswered ()
  • Answered
    Answered ()
Find C(0, 0)
Find C(8, 7)
Find C(10, 0)
Find C(12, 1)
Find C(9, 2)
Find C(15, 3)
Find C(11, 4)
Find C(20, 1)
Find C(13, 13)
Find C(10, 5)
Alert!

Advertisement