Probability Combinations Calculator
Calculate permutations (nPr) and combinations (nCr) with step-by-step factorial visualization. Essential for statistics, probability studies, and combinatorial reasoning.
Loading Tool...
Applications
Calculate lottery odds, poker hand combinations, committee selections, scheduling permutations, and password variations with instant step-by-step results.
Combinatorics Formulas
Combinations (nCr): C(n,r) = n! / (r! × (n-r)!). Permutations (nPr): P(n,r) = n! / (n-r)!. Results use exact factorial mathjs computation for n ≤ 170 and log-space approximation for larger values.
Fun Fact: There are more ways to shuffle a standard 52-card deck (52! ≈ 8×10⁶⁷) than there are atoms on Earth!
Related Tools
View all toolsBasic Calculator
Perform quick and accurate arithmetic calculations with this free online basic calculator. Ideal for everyday math, budgeting, and homework.
RREF Calculator
Reduce a matrix to its Reduced Row Echelon Form using Gaussian elimination. Perfect for linear algebra.
Percentage Calculator
Instantly calculate percentages, percent changes, and reverse percentages. Perfect for computing discounts, sales tax, and growth analysis.
Scientific Calculator
Advanced scientific calculator for complex math, supporting trigonometric functions (sin, cos, tan), logarithms, and exponents for students and engineers.
Fraction Calculator
Add, subtract, multiply, and divide fractions easily. Step-by-step simplification for students and teachers.
Graphing Calculator
Plot mathematical functions and equations on an interactive graph. Visualize algebraic and trigonometric concepts easily.