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Formula Sheet

Permutations and Combinations

ICSE · Class 11 · Mathematics

All formulas from Permutations and Combinations in ICSE Class 11 Mathematics. Key equations, constants, and identities for board exam preparation.

58 questions28 flashcards5 concepts

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15 Formulas · 4 Sections

Formulas

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!)

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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 Permutations and Combinations Concept Map, Permutations and Combinations Overview, Complete Overview of Permutations and Combinations. These are the concepts ICSE Class 11 examiners draw on most — study them first, then practise related questions.
How to score full marks in Permutations and Combinations — ICSE Class 11 Mathematics?
Understand the core concepts first, then work through the 58 practice questions available for this chapter. Revise formulas and 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.

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