Final answer:
To find the number of routes from one point to another in a 3 by 3 grid, we can use the concept of combinations. The number of combinations is 36.
Step-by-step explanation:
To find the number of routes from one point to another in a 3 by 3 grid, we can use the concept of combinations. Starting from the starting point, we have to move 2 units to the right and 2 units down to reach the destination point. We can think of this as choosing 2 right movements out of a total of 4 movements, and choosing 2 downward movements out of a total of 4 movements. The number of combinations can be calculated using the formula for combinations, which is nCr = n! / (r! * (n-r)!). Plugging in the values, we get (4! / (2! * (4-2)!) * (4! / (2! * (4-2)!)). This simplifies to (4 * 3 / (2 * 1) * (4 * 3 / (2 * 1)), which equals 6 * 6 = 36.