2. There is a bag with 16 letters: А, А, А, А, В, В, Д, И, И, М, М, Н, Н, Н, Я, Я. Anna, Vanya, Danya, and Dima each took 4 letters from it, after which the bag was empty. How many of them could have successfully spelled out their names? Explain your answer.
2. Answer: 3.

Solution. All of them could not have formed their names, as there were not enough letters D. Anna, Vanya, and Dima could have drawn cards from which they could form their names, while Danya would have been left with the cards: V, I, M, Ya.