Detailed Instructions: In this task, you need to provide the correct option for a given problem from the provided options.
Q: Problem: in a group of 12 engineers , 4 engineers have a phd degree ; the others have only an ms or bs degree . a team of 4 engineers is to be chosen which must have at least 1 engineer with a phd , how many different teams can be chosen ? 
Options: a ) 495 , b ) 70 , c ) 245 , d ) 425 , e ) 555
A:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
d