(1). How many different words (including nonsense words) can you make by rearranging the letters of the word EFFERVESCENCE? (2). How many different 4 letter words (including nonsense words) can be made from the let- ters of the word EFFERVESCENCE, if letters cannot be repeated? (3). How many different 4 letter words (including nonsense words) can be made from the let- ters of the word EFFERVESCENCE, if letters can be repeated?

16  Assume that the student has a cup with 8 writing implements: 4 pencils, 3 ballpoint pens, and 1 felt-tip pen. (1) In how many ways can the student select 2 writing implements? (2) In how many ways can the selection be made if no more than one ballpoint is selected?

You have one pile of 11 building blocks, each one a different color, and you also have another pile of 7 blocks, again each one a different color. How many ways are there to build a tower 4 blocks high from the first pile and another tower 3 blocks high from the second pile? Assume that the colors at each level of a tower matter. (A) 318 (B) C(11,4) C(7, 3) (C) P(11,4) P(7,3) (D) P(18,7) (E) 311 (F) C(18,7) (G) P(11,4)+ P(7,3) (H) C(11,4)+ C(7,3) O A OB OC O E O F OG H.

Nine IU South Bend students are going on a trip to Indianapolis for a Clots game. Go Colts! (a) They will seat in a row. In how many ways can they seat if Josh, Mark and Mary will sit together? (b) They will travel with three cars that hold 2, 4, and 5 people, respectively. All of them can drive. Find the number of possible ways to allocate 9 people to 3 cars that each car has at least one person (each car has to have a driver) (i) if the allocations are to the cars only (disregard the seats in the car). (ii) if the allocations are to the seats.