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Permutation when all the Objects are not Distinct Objects


Theorem
The number of permutations of n objects, where p objects are of the same kind and all the rest are different = . In fact, we have a more general theorem.

Theorem
The number of permutations of n objects, where p1 objects are of one kind, p2 are of second kind, ......, pk are of kth kind and the rest, if any, are of different kind is .


Example:
Find the no. of permutations by using the letters of the word EVERONN.
Solution:
In the word of EVERONN,

Number of letters in the word EVERONN = 7
E occurs 2 times, N occurs 2 times
No. of permutations =




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