Question: Please solve all the questions and make the solution line clear Let A, B, and C be sets, and suppose that IAI=IBI=ICI=100, IA n BI=60,

Please solve all the questions and make the solution line clear

Let A, B, and C be sets, and suppose that IAI=IBI=ICI=100, IA

Let A, B, and C be sets, and suppose that IAI=IBI=ICI=100, IA n BI=60, IAn Cl=50, IB n Cl=40, and IA U BU CI=175. How many elements are in IA n B n CI? Hint: you can use principle of inclusion-exclusion Question 2 Which ordered pairs are in the relation ((x,y) Ixy+1) on the set (1,2,3,4)? TTIT Paragraph Arial 3 (12pt) Question 5 What is the probability that a fair coin lands heads four times out of five flips? There are 805 lockers in the athletic center and 4026 students who need lockers. Therefore, some students must share lockers. What is the largest number of students who must necessarily share a locker? Hint: you can use pigeonhole principle

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