To determine the number of ambidentate ligands among the given species, we first need to understand what constitutes an ambidentate ligand. An ambidentate ligand can coordinate to a metal ion through two different atoms. We will analyze each ligand:
Thus, the ambidentate ligands among the listed are \(\text{NO}_2^{-}\), \(\text{SCN}^{-}\), and \(\text{CN}^{-}\). This gives us a total of 3 ambidentate ligands, which is within the specified range (3,3).
Step 1: Define ambidentate ligands
Ambidentate ligands are ligands that can coordinate to a metal center through two different atoms.
Step 2: Analyze the ligands
Step 3: Count ambidentate ligands
Ambidentate ligands are:
\[ \text{NO}_2^-, \, \text{SCN}^-, \, \text{CN}^-. \] Total number = 3.
Thus, the correct answer: 3.

Let a line passing through the point $ (4,1,0) $ intersect the line $ L_1: \frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{4} $ at the point $ A(\alpha, \beta, \gamma) $ and the line $ L_2: x - 6 = y = -z + 4 $ at the point $ B(a, b, c) $. Then $ \begin{vmatrix} 1 & 0 & 1 \\ \alpha & \beta & \gamma \\ a & b & c \end{vmatrix} \text{ is equal to} $