Answer : 2,2-dimethylbutane actually has got 3 methyl radicals and 1 ethyl radical attached to the 2nd carbon.
The pairs of positions for the Br atoms are in these ways
(a) both on the far end of the ethyl
[tex] (H_{3}C)_{3} - C - CH_{2} - CHBr_{2} [/tex]
(b) both on the near C of the ethyl
[tex] (H_{3}C)_{3} - C - CBr_{2} - CH_{3} [/tex]
(c) both on the ethyl but not on the same C
[tex] (H_{3}C)_{3} - C - CHBr - CH_{2}Br [/tex]
(d) both on one of the methyls
[tex] (H_{3}C)_{2} (Br_{2}HC) - C - CH_{2} - CH_{3} [/tex]
(e) both on methyls, but not the same methyl
[tex] (BrH_{2}C) (H_{3}C)_{2} - C - CH_{2} - CH_{3} [/tex]
(f) one on a methyl and one on far end of ethyl
[tex] (H_{3}C)_{2} (BrHC) - C - CH_{2} - CH_{2}Br [/tex]
(g) one on a methyl and one on near C of ethyl.
[tex] (H_{3}C)_{2} (BrHC) - C - CHBr - CH_{3} [/tex]