Binomial Theorem Calculator

Binomial Theorem Calculator: solve binomial theorem problems step-by-step. Clear formula, worked example, and FAQs included.

Combinations and permutations

Combinations: C(n,r) = n! ÷ (r! × (n−r)!)

Permutations: P(n,r) = n! ÷ (n−r)!

Factorial: n! = n × (n−1) × ... × 2 × 1; 0! = 1

Example: Choosing 3 from 10. C(10,3) = 120 (unordered). P(10,3) = 720 (ordered).