10.设集合X={a1,a2,a3,a4}⊆N∗X=\left\{{a}_{1},{a}_{2},{a}_{3},{a}_{4}\right\}\sube {N}^{*}X={a1,a2,a3,a4}⊆N∗,定义:集合Y={ai+aj∣ai,aj∈X,i,j∈N∗,i≠j}Y=\left\{{a}_{i}+{a}_{j}\vert {a}_{i},{a}_{j}\in X,i,j\in {N}^{*},i\ne j\right\}Y={ai+aj∣ai,aj∈X,i,j∈N∗,i=j},集合S={x⋅y∣xS=\{x\cdot y\vert xS={x⋅y∣x,y∈Yy\in Yy∈Y,x≠y}x\ne y\}x=y},集合T={xy∣x,y∈Y,x≠y}T=\left\{\frac{x}{y}\vert x,y\in Y,x\ne y\right\}T={yx∣x,y∈Y,x=y},分别用∣S∣\vert S\vert∣S∣,∣T∣\vert T\vert∣T∣表示集合SSS,TTT中元素的个数,则下列结论可能成立的是((( )))