How many coordination isomer are possible for the following compound? (excluding the given structure of molecule)
${[C o {(N H_{3})}_{6}]}_{6}^{3 +} {[C r {(N O_{2})}_{6}]}_{6}^{3 +}$

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Solution

Six coordination isomers are possible for ${[C o {(N H_{3})}_{6}]}_{6}^{3 +} {[C r {(N O_{2})}_{6}]}_{6}^{3 +}$ (excluding the given structure of molecule).
They are as shown below.
${[C o {(N H_{3})}_{5} {(N O_{2})}_{1}]}_{5}^{3 +} {[C r {(N H_{3})}_{1} {(N O_{2})}_{5}]}_{1}^{3 +}$
${[C o {(N H_{3})}_{4} {(N O_{2})}_{2}]}_{4}^{3 +} {[C r {(N H_{3})}_{2} {(N O_{2})}_{4}]}_{2}^{3 +}$
${[C o {(N H_{3})}_{3} {(N O_{2})}_{3}]}_{3}^{3 +} {[C r {(N H_{3})}_{3} {(N O_{2})}_{3}]}_{3}^{3 +}$
${[C o {(N H_{3})}_{2} {(N O_{2})}_{4}]}_{2}^{3 +} {[C r {(N H_{3})}_{4} {(N O_{2})}_{2}]}_{4}^{3 +}$
${[C o {(N H_{3})}_{1} {(N O_{2})}_{5}]}_{1}^{3 +} {[C r {(N H_{3})}_{5} {(N O_{2})}_{1}]}_{5}^{3 +}$
${[C o {(N O_{2})}_{6}]}_{6}^{3 +} {[C r {(N H_{3})}_{6}]}_{6}^{3 +}$

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