Fat soluble vitamins are:
A. Vitamin $$B_1$$
B. Vitamin C
C. Vitamin E
D. Vitamin $$B_{12}$$
E. Vitamin K
Choose the correct answer from the options given below:

Vitamins are usually grouped on the basis of their solubility:

• Fat-soluble vitamins = $$A, D, E, K$$
• Water-soluble vitamins = All $$B$$-group vitamins and vitamin $$C$$

Comparing this fact with the vitamins listed in the question:

$$\begin{array}{ll} \text{A.}&\; \text{Vitamin } B_1 \;(\text{water-soluble})\\[2pt] \text{B.}&\; \text{Vitamin } C \;(\text{water-soluble})\\[2pt] \text{C.}&\; \text{Vitamin } E \;(\textbf{fat-soluble})\\[2pt] \text{D.}&\; \text{Vitamin } B_{12} \;(\text{water-soluble})\\[2pt] \text{E.}&\; \text{Vitamin } K \;(\textbf{fat-soluble}) \end{array}$$

Therefore, among the five choices given, only Vitamin E (choice C) and Vitamin K (choice E) are fat-soluble.

The option that contains C & E only is Option D.

Hence, the correct answer is Option D (C & E Only).