Can you please answer these questions?

1. Enzo is distributing the snacks at snack-time at a day-care. There are 11 kids attending today. Enzo has 63 carrot sticks, which the kids love. (They call them orange hard candy!) Wanting to make sure every kid gets at least 5 carrot sticks, how many ways could Enzo hand them out?

2. How many 3-digit numbers must you have to be sure there are 2 summing to exactly 1002?

3. Find the co-efficient of x^6 in (x2)^9?