4
6 different combinations can be made with 3 items
There are 5C3 = 10 combinations.
combinations
There are four different groups of three, each of which can be arranged in six different ways so your answer is 24.
5
3 items each in 3 categories gives 3*3*3 = 27 possible combinations.
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.
Four outcomes, three combinations.
If order doesn't matter, 15 combinations and if order does matter, 360 combinations are possible.
64
126 combinations. Remember that the order does not matter.
8 groups of 2 = 8 groups_of_2 × 2 items/group_of_2 = 16 items → 16 items ÷ 4 items/group_of_4 = 4 groups of 4.