By mistake, a manufacturer of ballpoint pens includes forty faulty pens of various categories (ball point removed, case cracks and ink pour-outs) in a shipment of 250 going out to a big stationery shop. The shop manager has decided to accept the shipment of the ballpoint pens only if less than five are found to be faulty. Upon receipt of the shipment, the manager examines only half the shipment. Use this information to answer questions 6-10. 6. What is the probability that exactly five ballpoint pens are found to be faulty in the manager's examination?

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