Ononot — If C(n, r) : C(n, r+1) = 1 : 2 and C(n, r+1) : C(n, r+2) = 2

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Combinatoricsmedium

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If $C(n, r) : C(n, r+1) = 1 : 2$ and $C(n, r+1) : C(n, r+2) = 2 : 3$ , find $n$ .