Nonfarm payrolls count jobs on employer forms. The household survey counts people, and it is where the unemployment rate comes from. A month can add payrolls and still show a higher unemployment rate if more people are looking for work, or if the two samples simply diverge.
The Bureau of Labor Statistics publishes both in the same release, and the two often diverge. 'Jobs' is not a precise word. 'Payroll employment' and 'the unemployment rate' are.