How many combinations for 10 split into 3 groups with no less than 2 in a group?

To calculate the number of combinations for splitting 10 into 3 groups with no less than 2 in a group, we can use a mathematical concept known as stars and bars. In this case, we are essentially distributing 10 identical items (stars) into 3 distinct groups (bars). The formula for this scenario is (n+k-1) choose (k-1), where n is the total number of items (10) and k is the number of groups (3). Plugging in the values, we get (10+3-1) choose (3-1) = 12 choose 2 = 66 combinations.