tabWhile making up his schedule for spring semester, Tom complains that he doesn't have very many choices of schedule because of the general educationrequirements he has to meet. His advisor tells Tom that he has to take one course from each of English (7 choices), History (7 choices), Math/Stats (2 choices),Computer Science (2 choices), and general Science (8 choices). Does Tom have a legitimate gripe?escps lock(a) If every possible course is available at the time he's registering, how many possible schedules can he choose from(disregarding when the classes meet)?Tom can choose Gpossible schedules.(b) If Tom hasn't met the prerequisites for one of the Math/Stats courses and three of the general Science courses, by howmuch does this reduce his number of possible schedules?This reduces Tom's number of possible schedules bycontrolContinue!1FFQA2option@2NWS#380P3XEHcommandD$4298F4RC%5FNATVMacBook Air6G***YB&7H©2022 McGraw Hill LLC. All Rights Reserved. Terms of Use24FYU*8ND-11J1(9ΣDOK)OMOSISOXOL<5Submit AssignmentPrivacy Center AccessibilityPcommand.{[I11?option

here we use Fundamental counting theorem the total number of outcomes is calculated by the multiplication of the factorials as presented as follows From given English 7 choices History 7 choices Math/Stats 2 choices Computer Science 2 choices General Science 8 choices If every possible course is available at the time he's registering, how many possible schedules can he choose from The number of possible options is: N=7×7×2×2×8=1568 tom can choose from 1568 Possible schedules if Tom hasn't met the prerequisites for one of math/stats courses and three of the general science courses , this reduces the tom's number of possible schedules by =N-7×7×1×2×5=1568-490=1078