Numerical answer type, tolerance 0.5.
Answer: 3
Protonation gives (CHX3)X3C−CHX+−CHX3, which can be trapped by BrX− to give 2-bromo-3,3-dimethylbutane (one stereocentre, so 2 enantiomers). A 1,2-methyl shift gives the tertiary cation (CHX3)X2CX+−CH(CHX3)X2, which gives 2-bromo-2,3-dimethylbutane (achiral, 1 product). Total 2+1=3.