Ten apples are distributed among Amy, Ben, Corin, and Dora such that Amy gets at least two, and Corin and Dora get at least one each. If Ben gets at least as many apples as all the others put together, how many ways can the apples be distributed?

Answer 1

A ≥ 2 ... C ≥ 1 ... D ≥ 1 ... B ≥ A + C + D ... A + B + C + D = 10

list the possibilities ... there aren't that many ... I'll start

A2 , C1 , D1 , B6
A2 , C2 , D1 , B5
that's half

Answer 2

Thanks R_scott