##### Permutations and Combinations – Notes

**Fundamental Principle of Counting**

If an event can occur in m different ways, following which another event can occur in n different ways, then the total number of the occurrence of the events in the given order is m n.

**Introduction to Permutation**

A permutation is an arrangement in a definite order of a number of objects taken some or all at a time.

The number of permutations of n different objects taken r at a time is equal to ^{n}P_{r}, where 0 < r n.
**Permutations**

The number of permutations of n distinct objects taken r at a time, where repetition of the objects is allowed, is n^{r}.

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Class 11th Maths 7 - Permutations and Combinations - Notes

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