Exact result
35
5 choose 3 with repeats allowed is 35.
A bowl with mango-mango-pear is allowed, and mango-pear-mango is the same bowl.
Worked steps
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- Inputs: n = 5, r = 3
- Formula: C(n + r - 1, r) = (n + r - 1)! / (r!(n-1)!)
- Substitute: C(5 + 3 - 1, 3) = (5 + 3 - 1)! / (3!(5-1)!)
- Steps: 5,040 / (6 x 24)
- Result: 5 choose 3 with repeats allowed is 35.
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A bowl with mango-mango-pear is allowed, and mango-pear-mango is the same bowl.
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