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How is the M-C pi bond formed?

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How is the M-C pi bond formed?

(a) Donation of electron pair of half-filled metal d orbital to empty bonding pi orbital of CO

(b) Donation of electron pair of filled metal d orbital to empty bonding pi orbital of CO

(c) Donation of electron pair of filled metal d orbital to empty antibonding pi orbital of CO

(d) Donation of electron pair of half-filled metal d orbital to empty antibonding pi orbital of CO

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This question is from Bonding in Metal Carbonyls in portion Coordination Compounds of Chemistry – Class 12

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Correct answer is (c) Donation of electron pair of filled metal d orbital to empty antibonding pi orbital of CO

For explanation I would say: The pi bond involves donation of electrons from filled metal d orbitals into empty antibonding pi orbitals of CO. This is also called a back bond.

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