Question 1 [Marks: 6] Suppose that 150 people celebrated their birthday in three months, where 65 people celebrated their birthday in first month, 50 celebrated their birthday in second month, 45 celebrated their birthday in third month, 30 celebrated in first and second month, 25 people celebrated in the first and third month, 24 people celebrated in the second and third month, and 11 people celebrated their birthdays in all three months. Find the number of people who: a) Only celebrated in first month b) Only celebrated in second and third month but not in first month c) Celebrated in at least one month. d) Celebrated in exactly one month.