AboutPrivacy-policyTerms-conditionsFaqContact

    Permutation & Combination Calculator: Easy Math Solutions

    Created by Md jony islam

    permutation and combination calculator with examples

    Calculate permutations, combinations, and arrangements with this intuitive math tool. Features factorial calculations, step-by-step solutions, and visual explanations for both simple and complex scenarios. The permutations and combinations calculator determines the selection possibilities as well as the ordering potential of discrete elements by solving counting tasks. The calculator determines 120 permutations when 5 items need to be placed on a shelf (5! = 120). It also provides C(10,3) = 120 combinations when choosing 3 team members from 10 players. The calculator supports computing ordered sequences as permutations and unordered groups as combinations, where seating 4 people in 4 different chairs produces 24 ways but choosing 2 toppings from 6 options results in 15 ways. The calculator serves probability problems as well as game theory, statistical analysis, and event planning because it demonstrates basic counting rules to users in practical applications.

    permutation calculator with steps

    Permutation and Combination Calculator

    Select Calculation Type

    Results

    Permutation (nPr)

    Result: -

    Formula: -

    Combination (nCr)

    Result: -

    Formula: -

    Factorial Values

    n!: -

    r!: -

    (n-r)!: -

    Additional Information

    Total Arrangements: -

    Possible Combinations: -

    Calculation History

    Learn how we tools this below

    Add this tools to your site

    Buy me a for Source Code

    🙋 Try our Trigonometric Functions Calculator . If you want to learn more about conversions using Math Calculators.

    What is the Permutation & Combination Calculator?

    The Permutations and Combinations Calculator is a full-scale mathematical tool that helps users resolve intricate arrangements as well as selection problems. Users can solve both arrangement problems (permutations) and selection problems (combinations) through this calculator system with a thorough breakdown of solutions. Users can choose various calculation methods on the calculator to solve standard permutations or combinations sowie permutations with repetition and circular permutations. Users provide the total element count along with their selection sizes to immediately obtain results showing complete mathematical explanations. The calculator includes premium features that perform factorial operations along with probability examinations and practical demonstration functions. The calculator returns instant responses and thorough explanations, which makes it beneficial for educational as well as professional use. The tool delivers precise statistical computation while supporting features involving combination with repetition and permutation with restrictions and multi-step problem resolutions for statistics and probability theory and discrete mathematics needs. The tool provides support for big numbers together with multiple solution methods and complete step-by-step guidance, which enables its vital role in academic study and real-world tasks.

    Suggested Reading

    Frequently Asked Questions - permutation and combination Conversion FAQs:

    What is permutation in math with example?

    The process of item placement according to a predetermined sequence is known as permutation. The order matters here. When choosing two numbers from 1, 2, 3, the distinct arrangements amount to 12, 13, 21, 23, 31, 32. The permutations can be calculated through nPr = n! / (n-r)!.

    What is combination in math with example?

    Selection of items with a combination occurs when order does not matter during the process. The selection of two numbers from 1, 2, and 3 results in three possible combinations, which are 12, 13, and 23. Determine the count by employing the formula nCr = n! / [r!(n-r)!].

    What is a permutation and combination calculator?

    A permutation and combination calculator is a tool that implements formulas to solve problems at high speed. The tool requires users to input n (total) and r (chosen) before generating the value of either nPr or nCr. Mathematics and statistics, together with exams, use this tool as their primary calculation method.

    What are the possible combinations of 1, 2, 3, 4, 5?

    Relying on the total number of selected numbers determines the combinations between 1, 2, 3, 4, and 5. If you pick 2, they are: 12, 13, 14, 15, 23, 24, 25, 34, 35, 45. The sequence 123, 124, and all following triple numbers fall under the scope of 5Cr.

    Why do we use permutation and combination?

    The counting, planning, and probability problems require permutations and combinations to solve them. These methods assist students in taking exams and gaming events, and both employment testing and everyday life decisions. When order matters, use permutation. If not, use combination.

    About the Author

    Md Jony Islam

    Md Jony Islam: Multidisciplinary Engineer & Financial Expert:

    Md. Jony Islam is a highly skilled professional with expertise in electronics, electrical, mechanical, and civil engineering, as well as finance. Specializing in transformer service and maintenance for 33/11kV substations, he ensures reliable and efficient electrical systems. His mechanical engineering skills drive innovative designs, while his financial acumen supports effective project budgeting. With a strong foundation in civil engineering, he contributes to robust infrastructure development. Md. Jony Islam's multidisciplinary approach ensures efficiency, quality, and reliability across all projects.