Exact result
126
6 choose 4 with repeats allowed is 126.
A bowl can repeat flavours, but rearranging the same 4 scoops does not create a new combination. For example, vanilla-vanilla-mango-pear is the same bowl no matter how you list the scoops.
Worked steps
Show your work
- Inputs: n = 6, r = 4
- Formula: C(n + r - 1, r) = (n + r - 1)! / (r!(n-1)!)
- Substitute: C(6 + 4 - 1, 4) = (6 + 4 - 1)! / (4!(6-1)!)
- Steps: 362,880 / (24 x 120)
- Result: 6 choose 4 with repeats allowed is 126.
Interactive tool
Verify the same values in the calculator
A bowl can repeat flavours, but rearranging the same 4 scoops does not create a new combination. For example, vanilla-vanilla-mango-pear is the same bowl no matter how you list the scoops.
Result
0
Enter values to calculate.
What your result means
The explanation updates with the current inputs.
Live visual
Fruit preview
Previewing a small sample keeps the page fast and readable.
Calculation work