Final answer:
There are 19 marbles in total in the combined set of marbles from both bags.
Step-by-step explanation:
To find the total number of marbles in both bags, we need to add the number of marbles in each bag. Bag 1 has 4 green marbles, 3 red marbles, and 2 yellow marbles, which is a total of 4 + 3 + 2 = 9 marbles. Bag 2 has 6 red marbles and 4 green marbles, which is a total of 6 + 4 = 10 marbles. Therefore, in the combined set of marbles from both bags, there are 9 + 10 = 19 marbles in total.