PSTAT 120A- Final Exam Guide - Comprehensive Notes for the exam ( 32 pages long!)

• School: UCSB
• Department: Statistics & Applied Probability
• Course: PSTAT 120A
• Professor: Wildman

Document Summary

Abc, acb, bac, bca, cab, cba --> 6 ways. 3 ways to arrange 1st letter, 2 ways to arrange 2nd, 1 way to arrange 3rd --> ways. 26 coices for 1st, 2nd, 3rd, 4th, 5th letters --> Component 1 has 4 inputs: a, b, c, d. component 2 has 3 inputs: , , Principle of counting: suppose that the outcome of some experiment has components. The first component has possible entries, the second component has possi(cid:271)le e(cid:374)tries, , the th component has possible entries. Because we paritioned the selections into multiple, non-overlapping cases. Select one adult and one child to play a game, where the adult and child are from opposite groups. Addition principle: suppose a total collection of outcomes can be partitioned into subcollections. The first partition has out(cid:272)o(cid:373)es, . the th partition has outcomes. An arrangement of objects in a line is called a permutation of the objects. President: 100 --> vice president: 99 --> treasurer: 98.