1.Nine books are to be arranged on a shelf. There are 3 math books, 4 science books and 2 english books. How many distinct arrangements are possible?

2.Find the number of distinguishable permutations of the digits of the number 287,772.

3.Marvin, Albert, Raff, Jeff and Ronald want to take a photo in which three of them are lined up in a row. How many different photos are possible?

4.How many photographs will 9 friends have if they will take a group picture of 4 at a time?

5.You have been asked to judge an art contest with 20 entries. In how many can you assign 1^st, 2^nd, and 3^rd place?

6.How many words can we make by rearranging the letters of the word PHILIPPINES?

7.There are 10 people in a dinner gathering. In how many ways can they sit around a dining table if they can sit on any of the chairs?