Math & Statistics
Combinations (nCr) Calculator
Calculate the number of unordered combinations of r items from n.
Your inputs
Change any value to update the result instantly.
nCr
210
n!
36,28,800
r!
24
(n-r)!
720
Formula and working
nCr = n! ÷ (r!(n−r)!)
- 1
Substitute your values
n (total items) = 10; r (items chosen) = 4
- 2
Apply the formula
nCr = n! ÷ (r!(n−r)!) = 210
Frequently asked questions
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
Report a mistake or request an improvement
Tell us if a formula, unit, explanation, or result needs attention. Your message will include this calculator’s name and page.
Related calculators
Pascal's Triangle Calculator
Generate a row of Pascal's triangle and its entries.
Permutations (nPr) Calculator
Calculate the number of ordered permutations of r items from n.
Double Factorial & Subfactorial Calculator
Compute the double factorial (n!!) and subfactorial (derangements, !n) of a number.
Fibonacci Sequence Calculator
Generate Fibonacci numbers up to the nth term.
Progressions Calculator
Find the nth term and sum of arithmetic, geometric or harmonic progressions.
3D Distance Calculator
Find the straight-line distance between two points in 3D space.
