Final answer:
The exact number of British troops at the Battle of Monmouth is not provided in the references, and so cannot be accurately given without further research.
Step-by-step explanation:
The Battle of Monmouth involved a significant number of troops on both the American and British sides. However, none of the provided references explicitly mention the exact number of British troops involved in this battle. The closest reference to troop numbers provided is related to other battles.
For instance, it is mentioned that there were about 13,500 British troops under General Sir Henry Clinton's command when facing Major General Benjamin Lincoln's American force of 5,466. It is important to cross-reference historical facts to provide an accurate answer regarding troop numbers at the Battle of Monmouth.