The different strings which can be formed by rearranging the letters in the word DCDCD are:
10
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:
[tex]=\dfrac{5!}{3!\times 2!}\\\\=\dfrac{5\times 4\times 3!}{3!\times 2!}\\\\=\dfrac{5\times 4}{2!}\\\\=\dfrac{5\times 4}{2}\\\\=10[/tex]
Hence, the total number of ways are: 10
