Combinations Basics

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Quizzes Created: 7060 | Total Attempts: 9,520,935
| Questions: 10 | Updated: Oct 13, 2025
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1) Evaluate 5C2.

Explanation

5C2 = 5! / (2! × 3!) = 10.

Submit
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About This Quiz
Combinations Basics - Quiz

Combinations help us count selections when order doesn’t matter. In this quiz, you’ll practice the fundamentals of combinations, learning how to choose groups from a larger set. Take this quiz to build a solid foundation in counting principles.

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2) Find 6C3.

Explanation

6C3 = 6! / (3! × 3!) = 20.

Submit
3) Find 10C0.

Explanation

nC0 = 1.

Submit
4) Find 8C8.

Explanation

nCn = 1.

Submit
5) Find 7C1.

Explanation

nC1 = n = 7.

Submit
6) Find 9C2.

Explanation

9C2 = 9 × 8 / 2 = 36.

Submit
7) Find 12C2.

Explanation

12C2 = 12 × 11 / 2 = 66.

Submit
8) Find 8C3.

Explanation

8C3 = 8! / (3! × 5!) = 56.

Submit
9) Find 15C1.

Explanation

nC1 = n = 15.

Submit
10) Which of the following identities is true for combinations?

Explanation

This is the symmetry property of combinations.

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Evaluate 5C2.
Find 6C3.
Find 10C0.
Find 8C8.
Find 7C1.
Find 9C2.
Find 12C2.
Find 8C3.
Find 15C1.
Which of the following identities is true for combinations?
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