There are 10 empty bags arranged in a row, and 8 balls. Distribute the balls into the bags so that each bag contains at most 2 balls. Find the number of cases satisfying the following conditions.\\
(Here, the balls are indistinguishable from each other.) [4 points]\\
(가) The number of bags containing 1 ball is either 4 or 6.\\
(나) Bags adjacent to a bag containing 2 balls contain no balls.