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Permutations and Combinations question

2013 · Shift 1 · Q26
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  5. /2013 · Shift 1 · Q26

Permutations and Combinations question

2013 · Shift 1 · Q26

JEE AdvancedMathematicsPermutations and CombinationsNumerical+4 / −1
Consider the set of eight vectors V={a i^+b j^+ck^:a, b, c ∈{−1, 1}}V = \left\{ {a\,\hat i + b\,\hat j + c\hat k:a,\,b,\,c\, \in \left\{ { - 1,\,1} \right\}} \right\}V={ai^+bj^​+ck^:a,b,c∈{−1,1}}. Three non-coplanar vectors can be chosen from v in 2p{2^p}2p ways. Then p is
Numerical answer
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