Combinatorics: Combinations
Test your knowledge of combinations — counting the number of ways to choose objects when the order doesn't matter.
Questions cover the combination formula C(n,k), the symmetry property, Pascal's identity, and real-world combination problems like committees and pizza toppings.
Knowing when to use combinations instead of permutations is half the battle — see how well you can tell them apart.
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Sample questions3 of 12 shown
Q1
What is the formula for calculating combinations, denoted as C(n, k) or nCk?
Q2
What is the value of C(n, 0)?
Q3
Which property states that C(n, k) = C(n, n − k)?
What This Quiz Covers
- The combination formula C(n,k)
- The symmetry property C(n,k) = C(n,n−k)
- Pascal's identity
- Choosing committees and groups
- Combinations vs. permutations
- Real-world combination word problems
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