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JEE Main Mathematics

Permutations and Combinations

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The fundamental principle of counting, arrangements and selections, and what P(n, r) and C(n, r) count.

Key formula
nPr=n!(n−r)!,nCr=n!r! (n−r)!{}^{n}P_{r} = \frac{n!}{(n-r)!}, \quad {}^{n}C_{r} = \frac{n!}{r!\,(n-r)!}

What this unit covers

  • The fundamental principle of counting

  • Permutations and combinations

  • Meaning of P(n, r) and C(n, r)

  • Simple applications

Other units in JEE Main Mathematics