Let n=2a⋅3b⋅5cn = 2^a \cdot 3^b \cdot 5^cn=2a⋅3b⋅5c and m=2d⋅3e⋅5fm = 2^d \cdot 3^e \cdot 5^fm=2d⋅3e⋅5f. If GCD(n,m)=22⋅31⋅50\text{GCD}(n, m) = 2^2 \cdot 3^1 \cdot 5^0GCD(n,m)=22⋅31⋅50 and LCM(n,m)=23⋅32⋅51\text{LCM}(n, m) = 2^3 \cdot 3^2 \cdot 5^1LCM(n,m)=23⋅32⋅51, which of the following is a possible value for (a,b,c)(a, b, c)(a,b,c) and (d,e,f)(d, e, f)(d,e,f)?
(2,2,0)(2, 2, 0)(2,2,0) and (3,1,1)(3, 1, 1)(3,1,1)
(3,1,0)(3, 1, 0)(3,1,0) and (2,2,1)(2, 2, 1)(2,2,1)
(2,1,1)(2, 1, 1)(2,1,1) and (3,2,0)(3, 2, 0)(3,2,0)
(2,1,0)(2, 1, 0)(2,1,0) and (3,2,1)(3, 2, 1)(3,2,1)