Answer:
To understand this question, we need to have a clear understanding of the concepts of combinations and permutations.

Combinations:
Combinations refer to the selection of objects without considering the order in which they are arranged. In other words, the order does not matter when we are dealing with combinations.

Permutations:
Permutations, on the other hand, refer to the arrangements of objects where the order does matter. In permutations, the order of selection is important.

Now, let's analyze the given question step by step.

Step 1:
A coin is tossed n times. Each time the coin is tossed, it can either land heads up (H) or tails up (T). So, for each toss, we have 2 possible outcomes - H or T.

Step 2:
Since we are tossing the coin n times, we need to consider all possible outcomes for each toss. Therefore, the total number of outcomes for n coin tosses is given by 2^n. This is because for each toss, we have 2 possible outcomes (H or T), and since we are tossing the coin n times, we multiply 2 by itself n times.

Step 3:
Now, let's analyze the answer options:
a) C(n, 2) - This represents the number of combinations of n objects taken 2 at a time. However, in this question, we are not selecting objects but rather considering all possible outcomes of a coin toss. So, this option is not correct.
b) P(n, 2) - This represents the number of permutations of n objects taken 2 at a time. Similar to option a, this option is also not applicable to this question.
c) 2^n - This option represents the correct answer. As explained in step 2, the total number of outcomes for n coin tosses is 2^n.
d) 2n - This option is incorrect as it does not represent the total number of possible outcomes for n coin tosses.

Therefore, the correct answer is option 'c' - 2^n.