generic · CBSE Class 11 English medium · MATHEMATICS · Page 167table

® Fundamental principle of counting If an event can occur in m different

Chapter 2: 4 P 2 = 4 C 2 ××××× 2! or ( · MATHEMATICS · EN medium

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ways, following which another event can occur in n different ways, then the total number of occurrence of the events in the given order is m × n . ® The number of permutations of n different things taken r at a time, where repetition is not allowed, is denoted by n P r and is given by n P r = ! )! , where ≤ r ≤ n . ® The number of permutations of n different things, taken r at a time, where repeatition is allowed, is n r . ® The number of permutations of n objects taken all at a time, where p objects

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ways, following which another event can occur in n different ways, then the total number of occurrence of the events in the given order is m × n . ® The number of permutations of n different things taken r at a time, where repetition is not allowed, is denoted by n P r and is given by n P r = ! )! , where ≤ r ≤ n .

® The number of permutations of n different things, taken r at a time, where repeatition is allowed, is n r . ® The number of permutations of n objects taken all at a time, where p objects

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