Final answer:
To reach from point A(0,0) to point B(6,6) by only walking east or north, there are 924 different ways to do so.
Therefore, the correct answer is C. 42.
Step-by-step explanation:
To reach from point A(0,0) to point B(6,6), a person can only walk either in the east direction or in the north direction. Since the person can only make movements in two directions, this problem can be seen as a combination problem. We need to find the number of ways to arrange 'E's and 'N's in a 6 by 6 grid, where 'E' represents moving east and 'N' represents moving north. The total number of arrangements will give us the number of ways to reach point B. To solve this, we can use the concept of combinations.
The total number of ways to reach point B is given by the formula:
ways = (n + m) choose n
where n is the number of movements east and m is the number of movements north. In this case, n = 6 and m = 6, so the formula becomes:
ways = (6 + 6) choose 6 = 12 choose 6 = 924.
Therefore, the correct answer is 924, which corresponds to option C. 42.