Step 1: Determine the molecular formula.
The molecular formula \( \text{C}_4\text{H}_{10}\text{O} \) indicates a compound with four carbon atoms, ten hydrogen atoms, and one oxygen atom. This is the formula for alcohols.
Step 2: Identify possible alcohol isomers.
By rearranging the positions of the hydroxyl group (-OH) on the carbon chain and considering possible branching, the following alcohol isomers can be formed:
1. Butan-1-ol (straight-chain)
2. Butan-2-ol (straight-chain)
3. Isobutanol (branched-chain)
4. tert-Butanol (branched-chain)
Thus, there are four isomers.
Final Answer:
\[
\boxed{4}
\]