[MAT 121] - Final Exam Guide - Ultimate 22 pages long Study Guide!

247 views22 pages

Document Summary

Fundamental theorem of counting: if one event can happen in m" ways, a second in n" ways, a third in p", (and so forth) Then the events can happen collectively in m x n x p . ways. Theorem 1: the number of ways n" objects can be arranged in a straight line is: n! Theorem 2: the number of ways n" objects can be arranged in a straight line using r" at a time is: npr = n(n-1) (n-2) (n-r + 1) Theorem 3: the number of ways n" objects can be arranged in a line where p,q,r, etc. are the same is n!/p!q!r! Theorem 4: the number of ways to arranging n" objects in a circle is (n-1)! Theorem 5: the number if combinations of n" objects taken r" at a time if (n/r) = ncr = n!/r! (n-r)! Sample space: the set of all possible outcomes of an experiment. Event: a subset of a sample space.

Get access

Grade+20% off
$8 USD/m$10 USD/m
Billed $96 USD annually
Grade+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
40 Verified Answers

Related Documents

Related Questions