\fPart 2: decide what type of counting rule you must use and solve the following Emblems. -'-' r :::- :Jlern .'i' 1: A four-digit area code is designed as follows: e The first could be either 2 or 3. n The second could be only tier 1 e The third can be any digit greater than 3 n The last can be any digit. a] what type of counting rule you must use to solve the problem? b] How many different codes are possible? m There are 6 members on a board of directors. They must elect a chairperson. a secretary. and a treasurer. a] what type of counting rule you must use to find how many different slates of candidates are possible? b}- what how many different slates of candidates are possible? a] What counting rule would you use to nd how many ways the letters P, {1. R, 5 could be arranged? b}- How many different ways can the letters P. Q, R, S be arranged. e] What is the probability of selecting the letters in the order "HIRE\"? -'-'r:::-:;iI-s-i'n .'fa'i: There are a members on a board of directors. They must form a subcommittee of 5 members. a] What type of counting rule you must use to nd how marry different subcommittees are Possible? E) G. Names Pages A) 0.748 5) 2.336 () 1.428 D) 0.572Assume that there is a 3% rate of disk drive failure in a year. a] If a oom puter data is stored on a hard disk drive with a copy stored on a second hard disk drive. what is the probability that during a year, you can avoid catastrophe with "at least one\" working drive? b} If copies of all your computer data are stored on three independent hard disk drives. what is the probability that during a yea r. you can avoid catastrophe with "at least one" working drive? Section 4.4: counting rules Port 1 Fill in the blanks r the following denitions 1. Multiplication or @ndnmentol' counting rule. Fora sequence of two events in which the rst event can occur n1 ways and the second event can occur always. the third event can occur in a; ways and so on. the total number of outcomes is n; . n2 . n3 Evomple: Social security numbers are typically 9 digits. How many different 55 numbers are there? 2. The @cton'nl rule: The number of different arrangements of it different items when all items are selected. The total number of outoom es is of. The symbol \"I\" Denotes the product of decreasing positive whole numbers. Example:4l = 4- 3 - 2- 1 = 24. Yourtuml Evaluate: 5! = 3! = Statgrunch commands: data