The problem defines a binary operation a b = 2a + 3b − ab. We need to find the value of 2 3.

The problem defines a binary operation $a * b = 2a + 3b - ab$. We need to find the value of $2 * 3$.

Step 1: Substitute the given values into the operation.
We are asked to find $2 * 3$, so we set $a = 2$ and $b = 3$.
Substitute these values into the given formula:

$$2 * 3 = 2(2) + 3(3) - (2)(3)$$

Step 2: Perform the multiplication operations.

$$2 * 3 = 4 + 9 - 6$$

Step 3: Perform the addition and subtraction.

$$2 * 3 = 13 - 6$$ $$$$