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Formula Sheet

Permutations and Combinations — Formula Sheet

ICSE · Class 11 · Mathematics

17 formulas from Permutations and Combinations (ICSE Class 11 Mathematics) on one page, grouped by topic. Part of the ICSE Class 11 Mathematics syllabus.

58 questions28 flashcards17 formulas & key relations5 concepts

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An infographic illustrating the multiplication principle of counting with a clear example, showing how to calculate total ways when operations are sequential.
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17 Entries · 5 Sections

Formulas and Key Relations

1. Factorial

n! = n × (n-1) × (n-2) × ... × 2 × 1

0! = 1

1! = 1

3! = 6

4! = 24

2. Fundamental Principles of Counting

Multiplication Principle: m × n

Addition Principle: m + n

3. Permutations

nPr = n!/(n-r)!

nPn = n!

nP0 = 1

Permutation of non-distinct objects = n!/(p1!p2!...pk!)

Permutation-Combination relation: nPr = nCr × r!

4. Circular Permutations

Stationary Circular Permutation = nPr/r

Free Circular Permutation = nPr/(2r)

Stationary circular permutation of non-distinct objects = (n-1)!/(p1!p2!...pk!)

Key relations

For n different objects taken r at a time without repetition, nPr = n!/(n-r)!.

For n different objects taken r at a time, nCr = n!/[r!(n-r)!].

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Frequently Asked Questions

What are the important topics in Permutations and Combinations for ICSE Class 11 Mathematics?
Key topics in Permutations and Combinations include Factorial and Basic Counting Rules, Permutations, Circular Permutations, Combinations. Study these first, then practise questions on each for Class 11 exams.
How many formulas are in Permutations and Combinations?
This sheet lists 17 formulas from Permutations and Combinations, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Permutations and Combinations for Class 11 exams?
Learn the core ideas first, then work through the 58 practice questions on Permutations and Combinations. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Permutations and Combinations

All ICSE Class 11 Mathematics Formula Sheet

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