Exact result
36
3 choose 7 with repeats allowed is 36.
A bowl with vanilla-vanilla-mango-mango-mango-pear-pear is allowed, and rearranging those same scoops does not create a new bowl.
Worked steps
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- Inputs: n = 3, r = 7
- Formula: C(n + r - 1, r) = (n + r - 1)! / (r!(n-1)!)
- Substitute: C(3 + 7 - 1, 7) = (3 + 7 - 1)! / (7!(3-1)!)
- Steps: 362,880 / (5,040 x 2)
- Result: 3 choose 7 with repeats allowed is 36.
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A bowl with vanilla-vanilla-mango-mango-mango-pear-pear is allowed, and rearranging those same scoops does not create a new bowl.
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