# 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 p

_{1}objects are of one kind, p

_{2}are of second kind, ......, p

_{k}are of k

^{th}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 =