Question 3 (15 marks): From the ``Which MACM101 Relations' Image House are you Quiz with billions of likes on all social media websites, the possible quiz results are: House A (``Nothing will Rain on my Parade!), House B (``The stress of being robbed is negatively impacting my learning experience!), or House C (I am a indomitable, stoic rock in a sea of chaos).

a) What can you argue if 1000 people take this test? Be careful about your answer's exact wording.

b) How many people need to take the quiz for at least 300 people to get the same result?

c) How many people need to take the quiz for House A to necessarily get assigned 300 people? Explain your answer or non-answer.