The secondary bromide shown (configuration not specified) is hydrolysed in water by an $\mathrm{S}{}_{\mathrm{N}}1$ pathway, and its cation undergoes the favourable 1,2-methyl shift. Ignoring elimination, count every configurational stereoisomer (optical isomers counted separately) of all alcohols that can form by capture of the unrearranged and rearranged cations. Give your answer as an integer.

Numerical answer type, tolerance 0.5.