Sum and Product of Integers Calculation

Consider a set of numbers defined as follows: Let the set $S$ consist of the first 30 positive integers. The sum of all the elements in set $S$ is denoted as $T$. If we were to find the product of all the odd integers in the set $S$, denoted as $P$, what is the value of $T - P$?

To clarify, the set $S$ is represented as:

$$S = \\{1, 2, 3, \\\ldots, 30\\}$$

Now, calculate the values of $T$ and $P$: