The strength of a Lewis acid depends on the electron-withdrawing ability of substituents on the boron atom. The order of electron-withdrawing ability of halogens is as follows: F > Cl > Br. Hence, the strongest Lewis acid will be the one with the most electronegative halogen attached to boron. In this case, BFBr\(_2\) has two Br atoms, which are weaker electron-withdrawing groups compared to Cl and F, making it the strongest. The order is:
\[
\text{BFBr}_2 > \text{BFClBr} > \text{BF}_2\text{Br} > \text{BF}_2\text{Cl}.
\]
Final Answer:
(B) BFBr\(_2\) > BFClBr > BF\(_2\)Br > BF\(_2\)Cl.