From Politifact article on Ben Carson:

In response to the assertion that Carson has no political experience, he responded on Facebook:

‘”You are absolutely right — I have no political experience,” Carson wrote in the initial version of his post. “The current Members of Congress have a combined 8,700 years of political experience. Are we sure political experience is what we need. Every signer of the Declaration of Independence had no elected office experience. . . .’

This claim is literally false.  Many of the signers of the Declaration of Independence had been elected to their respective colonial legislatures.  And it seems that most if not all the members of the Continental Congress were elected.

Carson then amended that post to read: “every signer of the Declaration of Independence had no elected federal office experience”.

Politifact rates this claim as ‘illogical’ and ‘nonsensical’ as a federal government did not exist on the day the Declaration of Independence was signed.

One might characterize as true but misleading for that reason, given that the signers of the Declaration of Independence were in fact the most experienced elected leaders at the national level.