Question 923763
(1) This question makes no sense.
(2) Treat 07 as a single digit. Now we have seven digits (123456 and 07) to arrange, and 2! = 2 ways to permute {0,7}. Ans = 2*7!.
(3) Worst case is if we pick 5 red balls then 5 blue balls (or 10 balls of only two colors). The next ball is guaranteed to be of the third color, so 11 balls are needed.