Explain synergic bonding.

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(N/A) The metal-carbon bond in metal carbonyls possesses both $\sigma$ and $\pi$ character.
The $M-C$ $\sigma$-bond is formed by the donation of a lone pair of electrons on the carbonyl carbon into a vacant orbital of the metal.
The $M-C$ $\pi$-bond is formed by the donation of a pair of electrons from a filled $d$-orbital of the metal into the vacant antibonding $\pi^{*}$ orbital of carbon monoxide $(CO)$.
The metal-to-ligand bonding creates a synergic effect which strengthens the bond between $CO$ and the metal.

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The correct statements about metal carbonyls are:
$A$. The metal-carbon bonds in metal carbonyls possess both $\sigma$ and $\pi$-character.
$B$. Due to synergic bonding interactions between metal and $CO$ ligand,the metal-carbon bond becomes weak.
$C$. The metal-carbon $\sigma$ bond is formed by the donation of a lone pair of electrons on the carbonyl carbon into a vacant orbital of metal.
$D$. The metal-carbon $\pi$ bond is formed by the donation of electrons from a filled $d$-orbital of metal into a vacant $\pi^*$ orbital of $CO$.
Choose the correct answer from the options given below:

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