CHAPTER 4 EXERCISES: 1) Determine whether each of the following is true or false: 9) 15!= 15 . 14 . 13! b) 5! : 3! = 15! 0) 4 + 2! = P! d) 19! 18! 19 41 2! 2) Determine whether each of the following is true or false: 1 1 31 3! 181 bi = 16.15 14! 8! = 56 5! 3! d) 6! + 0! = 36 6! e) = 1 2! 3! 3) If 15 cars are entered in a car show, in how many different ways will the judges award a first prize, a second prize?4) In how many ways can the 50 students choose among themselves a president, a vice- president, a secretary and a treasurer? 5) Find the number of ways in which five or nine contestants can be ranked first, second, third, fourth and fifth according to their heights. 6) Find the number of permutations of zero objects selected from a set of 24 objects. 7) How many different permutations are there of the letters in each of the following words? 9) Bookkeeper b) Mississippi ") Statistics d) Syzygy e) Gorgeous 8) A subcommittee of three representatives is to be selected from five men and three female members of the house ways and means committee. In how many ways can the subcommittee be selected so that: 9) It consists of two men and one woman? b) Each sex is represented? c) At least one man is in the subcommittee? d) At least one woman is a member of the subcommittee? 9) In how many ways can a committee of four be chosen from five married couple if. =) All are equally eligible? b) The committee must consist of three women and one man? c) A husband and a wife cannot serve together? 10) How many ways can six-person volleyball teams be made from a group of seven men and three women if: 9) There is no sex discrimination? b) The team must contain at least two women? 11) How many seven-digit phone numbers are possible if the first three digits must be 143? 12)A statistic department consists of five faculty members, namely: A, B. C, D and E all of whom would like to attend the national conference. Unfortunately, there is enough money available for only three to go. How many different ways are there to select those three