Send your solutions 1. Robin has 9 mathematics books and 5 science books. The shelf has space for only 7 books. If the first four positions are to be occupied by mathematics books and the last three by science books, in how many ways can this be done? 2. Find the number of circular permutations of eight children. 3. How many 11-letter words (real or imaginary) can be formed using all the letters in the word MATHEMATICS? 4. How many different license plate numbers can be made using 4 letters followed by 2 digits selected from 0-9, if a. letter and digits may be repeated? b. letter may be repeated, but digits are not repeated? c. neither letters nor digits may be repeated? 5. A math teacher requires each student to solve 5 out of 15 problems. Of the 15 problems, 3 are in Statistics, 7 are in Algebra, and 5 are in Geometry. In how many ways can a student select each of the following problems for the 5 problems: a. 5 Algebra problems? b. 5 Statistics or Geometry problems? c. 3 Statistics and 2 Geometry problems