Question

How many different strings can be formed by rearranging the letters in the word DCDCD?

Answer 1

The different strings which can be formed by rearranging the letters in the word DCDCD are:

10

Explanation:

We are asked to find the different number of arrangements that may be me made in the word:

DCDCD

There are a total of 5 words such that D is repeated 3 times and C is repeated two times.

Hence, the total number of ways of arrangement is given by:

`=(5!)/(3!* 2!)\\\\=(5* 4* 3!)/(3!* 2!)\\\\=(5* 4)/(2!)\\\\=(5* 4)/(2)\\\\=10`

Hence, the total number of ways are: 10