Choose all choices applicable.

For which of the following problems is 10 where we use |Ai Aj Ak Ito represent the cardinality of any intersection of 3 sets with distinct values of i, j, and k? Select correct answer choices. C] How many ways can we distribute 90 balls into 10 bins such that each bin contains at most 12 balls? C] How many ways are there for a child to take 25 pieces of candy with 10 types of candy, if the child does not take exactly 2 pieces of any type of candy? [3 How many ways are there to distribute 10 books to 10 children (one to each child) and then collect the books and redistribute them with each child getting a new book? [:1 How many 5-digit numbers (including leading Os) are there with no digit appearing exactly 2 times? C] How many permutations are there of the 26 letters in the alphabet are there not containing sequences AS, AND, BE, OF, THE, HAS, ME, TWO, TEA, and YOU? C] How many ways are there to distribute 1000 pencils in 10 boxes such that the second and third box contain at most 25 pencils