Number of matrices A of order $3 \times 2$ such that all of its elements are from the set $\{ - 2 , - 1,0,1,2 \}$ such that trace of $\mathrm { AA } ^ { \mathrm { T } }$ is 5 , is equal to (A) 120 (B) 192 (C) 312 (D) 126
Number of matrices A of order $3 \times 2$ such that all of its elements are from the set $\{ - 2 , - 1,0,1,2 \}$ such that trace of $\mathrm { AA } ^ { \mathrm { T } }$ is 5 , is equal to\\
(A) 120\\
(B) 192\\
(C) 312\\
(D) 126