(see photo attached) a) A Math quiz has six " true-false"questions. HoW Many different choices forgiving answers to the six questions arepossible?b) A car license plate consists of 7characters. The first 4 characters areNUMerals froM 0 to 9. The last 3 charactersare letters excluding I, 0, and X. How Manydifferent license plates are possible?c) HOMer, GOMer, Plato, Euclid, Socrates,Aristotle, Newton and Archimedes form theboard of directors of the Lawyer and PoodleAdmirers Club. They will choose fromGMongst themselves a Chairperson,Secretary, and Treasurer. No person will holdMore than one position. How Many differentoutcomes are possible?

We know that nPr = n!/(n-r)! Also nCr = n!/(r! * (n-r)!) (a) There are 6 questions and we have two…

a) A math quiz has six " true-false" questions. HoW Many different choices for giving answers to the six questions are -) A car license plate consists of 7 characters. The first 4 characters are UMerals fromM 0 to 9. The last 3 characters are letters exclu ding I, 0, and X. How Many different license plates are possible? :) HOmer, Gomer, Plato, Euclid, Socrates, Aristotle, Newton and Archimedes form the poard of directors of the Lawyer and Poodle Admirers Club. They will choose from GMongst themselves a Chairperson, Secretary, and Treasurer. No person will hold More than one position. How Many different outcoMes are possible?