Final answer:
The number of possible paths in a binomial tree with 10 steps is 1024.
Step-by-step explanation:
A binomial tree with 10 steps is a binary tree structure where each step has two possible outcomes, often represented by 'up' and 'down'. In this case, there are 10 steps, so the total number of possible paths is equal to 2 raised to the power of 10 (2^10), which is 1024. Therefore, the correct answer is option c) 1024.