Hardest Problem from JEE Advanced 2013 Paper - 1 on Vector Algebra & Three Dimensional Geometry. [ Task #243 ]
Consider the set of eight vectors 𝑉={𝑎𝑖 ̂+𝑏𝑗 ̂+𝑐𝑘 ̂ :𝑎, 𝑏, 𝑐 ∈{−1, 1}}. Three non-coplanar vectors can be chosen from 𝑉 in 2^𝑝 ways. Then 𝑝 is ____
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