In Fe(CO)₅, the Fe-C bond possesses:
A. π character only
B. both π and σ characters
C. ionic character
D. σ character only

The compound \(\text{Fe(CO)}_5\) is iron pentacarbonyl, where iron (Fe) is bonded to five carbon monoxide (CO) ligands. To understand the nature of the bond between Fe and C in this molecule, let's break down the bonding situation.

### Bonding in \(\text{Fe(CO)}_5\):
1. **CO Ligand**: In carbon monoxide (CO), the carbon has a lone pair of electrons on it that it donates to the metal center (Fe). This forms a **sigma bond** (\(\sigma\)-bond) between the carbon of CO and the iron atom.

2. **Back-donation**: Additionally, CO is a good \(\pi\)-acceptor ligand. The iron atom can back-donate its electrons from its d-orbitals to the empty anti-bonding \(\pi^*\)-orbitals of CO. This forms a **\(\pi\)-bond** between the metal and the carbon.

### Nature of the Fe-C bond:
- The Fe-C bond has both **\(\sigma\)-bond character** (due to the donation of a lone pair from carbon to iron) and **\(\pi\)-bond character** (due to the back-donation from iron to CO).

Thus, the Fe-C bond in \(\text{Fe(CO)}_5\) possesses **both \(\sigma\) and \(\pi\) characters**.

### Answer:
**B. Both \(\pi\) and \(\sigma\) characters.**