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Logic and Discrete Structures Question 10 (10 marks + 10 marks bonus) There are 12 zodiac signs in total and everyone has his/heir owm zodiac

image text in transcribed Logic and Discrete Structures

Question 10 (10 marks + 10 marks bonus) There are 12 zodiac signs in total and everyone has his/heir owm zodiac sign according to the birthday. Suppose we have a group of 25 people. (a) What is the total number of possibilities for the zodiac signs of this group? (b) Argue that at least one zodiac sign belong to 3 or more people. (c) (Bonus 10 Marks) What is the total number of possibilities with at least 5 of these people having the same zodiac sign

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