In Problems 7–14, find the value of each permutation. 7. P(6, 2) 8. P(7, 2) 9. P(4, 4) 10. P(8, 8) 11. P(7, 0) 12. P(9, 0) 13. P(8, 4) 14. P(8, 3)

9. In a batting cage, a young future slugger is swinging for the cheap seats-counting the number of pitches from one "home run" (in her mind) to the next: for instance, if she counts 4, it means it took her 4 pitches to get her first home run after she hit the last one. For 20 independent "home runs," her counts were: 3, 6, 2, 16, 12, 4, 4, 5, 15, 11, 3, 3, 2, 1, 8, 11, 5, 1, 2, 1. Assuming that these data can be looked upon as a random sample from a geometric population, a) Derive the maximum likelihood estimator for the geometric distribution's parameter 0. b) Estimate the parameter for the population the given sample was drawn from. Interpret your result (this interpretation should include what the pertinent population is for this problem; what, then, the parameter would represent, etc.)

C. Evaluate the following 1. P(, 10) 4. P(15, 1) 2. P() 5. P(1,7) 3. P(s)

Suppose you have 11 books and you randomly pick 3 to take on vacation with you. How many ways can you do this?