Final answer:
To find out how many different sets of 3 marbles can be drawn from a bag of 10, we use combinations. The formula is 10C3, which equals 120 sets. Therefore, 120 is the number of different sets of 3 marbles that can be obtained.
Step-by-step explanation:
The question of how many different sets of 3 marbles can be drawn from a bag containing 10 different marbles is a problem that can be solved using combinations. Since the order in which the marbles are drawn does not matter, we use the combination formula to determine the number of different combinations possible.
The combination formula is nCr = n! / (r!(n - r)!), where n is the total number of items, r is the number of items to choose, and ! denotes factorial.
In this case, there are 10 marbles and we want to choose sets of 3. Plugging these values into the formula gives us:
10C3 = 10! / (3!(10 - 3)!) = 10! / (3!7!) = (10 × 9 × 8) / (3 × 2 × 1) = 120.
Hence, the correct answer is 2) 120 different sets of 3 marbles.