NCERT Book Class 11 Maths Permutations And Combinations Questions

7.1 Overview
The study of permutations and combinations is concerned with determining the number of different ways of arranging and selecting objects out of a given number of objects, without actually listing them. There are some basic counting techniques which will benuseful in determining the number of different ways of arranging or selecting objects. The two basic counting principles are given below:
Fundamental principle of counting
7.1.1 Multiplication principle (Fundamental Principle of Counting) Suppose an event E can occur in m different ways and associated with each way of
occurring of E, another event F can occur in n different ways, then the total number of occurrence of the two events in the given order is m × n .
7.1.2 Addition principle If an event E can occur in m ways and another event F can occur in n ways, and suppose that both can not occur together, then E or F can occur in m + n ways.
7.1.3 Permutations A permutation is an arrangement of objects in a definite order.
7.1.4 Permutation of n different objects The number of permutations of n objects taken all at a time, denoted by the symbol nPn, is given by

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