9different books are to be arranged on a book-shelf. 4 of these books were writtenby shakespeare, 2 by dickens and 3 by conrad. how many possible permutationsare there if the books by dickens are separated from each other?

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.