Is there a way to count the responses of a specific type where there are multiple fields

Say I am collecting information on people.  And each respondent fills out a number X of names.  Each name has its own yes/no response (say is this person registered)  so if they register 10 people, there will be 10 separate yes/no answers.  Is there a way to create a calculate that includes all of those "yes" answers ?

If I understood correctly, your form will have 10 yes/no fields and you want to calculate the number of selected Yes answers.

This can be archived with calculation. I assume that yes/no fields will be a radio button field. First, you will need to assign calculation the values to all fields, 1 for yes and 0 for no. 

How to Assign Calculation Value

After that, you will need to set a calculation to count the Yes answers. 

How to Perform Form Calculation Using a Widget

Here is a demo form - https://form.jotform.com/82274335845967 

Feel free to test it and clone it.