The Polymerase Chain Reaction (PCR) is a method used to amplify DNA. The correct sequence of steps involved in the process of PCR is:

1. Denaturation: The double-stranded DNA is heated to separate it into two single strands.
2. Annealing: The temperature is lowered to allow primers to attach to the single-stranded DNA.
3. Extension: Taq polymerase extends the primers to form a new DNA strand.
4. Amplification: This cycle of heating and cooling is repeated multiple times (~1 billion times) to amplify the DNA.

Therefore, the correct sequence of steps of PCR from the options given is:

Option A:

$$\mathrm{C} \rightarrow \mathrm{A} \rightarrow \mathrm{D} \rightarrow \mathrm{E} \rightarrow \mathrm{B}$$

This option correctly represents the sequence of steps in PCR where:

1. $\mathrm{C}$ represents Denaturation.
2. $\mathrm{A}$ represents Annealing.
3. $\mathrm{D}$ represents Treatment with Taq polymerase and deoxynucleotides (which occurs during the Extension step).
4. $\mathrm{E}$ represents Extension.
5. $\mathrm{B}$ represents Amplification (~1 billion times).

Hence, Option A is the correct sequence.