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  2. Exams
  3. IIT JEE
  4. Mathematics
  5. Permutations and combinations
46 marks

Permutations and combinations

This chapter deals with the fundamental principles of counting, permutations, and combinations, forming the basis for probability.

4 Topics
25h prep
1.9% subject weight
4 Topics
1

The fundamental principle of counting

2m2/10
📌 Key FormulaIf one event can occur in m ways and another in n ways, total ways = m × n
2

Permutation as an arrangement

2m3/10
📌 Key FormulaⁿPᵣ = n!/(n-r)!
3

Combination as section

2m3/10
📌 Key FormulaⁿCᵣ = n!/(r!(n-r)!)
4

Meaning of P (n,r) and C (n,r) and simple applications

2m4/10
📌 Key FormulaⁿPᵣ = n!/(n-r)!, ⁿCᵣ = n!/(r!(n-r)!)