Question 160
At Hadi's birthday party, $2023$ friends came to give him $2023$ different gifts. Hadi wants to know exactly who gave which gifts, so he came up with a way: each time, choose a group of $11$ people and ask them what gifts they gave. When responding, the group only reported their set of gifts (not knowing exactly which gifts from whom). What is the minimum number of questions that Hadi need to ask?