File Tools View Chapter 10 Introduction to Counting.docx [Compatibility Mode] - Word X Assignment 8- Chapter 10 Introduction to Counting 2. A manager must select three coders from her group to write three dif- ferent software projects. There are 7 junior and 3 senior coders in her 1. Answer the following questions about selecting lunch specials. group. The first project can be written by any of the coders. The sec- a) A Chinese restaurant offers 10 different lunch specials. Each ond project must be written by a senior person and the third project weekday for one week, Fiona goes to the restaurant and selects a must be written by a junior person. How many ways are there for her lunch special. How many different ways are there for her to select to assign the three coders to the projects if no person can be assigned her lunches for the week? Note that which lunch she orders on to more than one project?. which day matters, so the following two selections are considered (source: zy Books, Exercise 10.3.4: Selecting coders for 3 different projects) different. 3. A girl scout troop with 10 girl scouts and 2 leaders goes on a hike. One possible selection: When the path narrows, they must walk in single file with a leader at . Mon: Kung pao chicken the front and a leader at the back. How many ways are there for the . Tues: Beef with broccoli entire troop (including the scouts and the leaders) to line up? . Wed: Kung pao chicken (source: Exercise 10.4.4: Lining up a girl scout troop) . Thurs: Moo shu pork . Fri: Beef with broccoli A different selection: . Mon: Beef with broccoli . Tues: Kung pao chicken . Wed: Kung pao chicken . Thurs: Moo shu pork . Fri: Beef with broccoli b) Now suppose that in addition to selecting her main course, she also selects between water or tea for her drink. How many ways are there for her to select her lunches? (source: zy Books, Exercise 10.1.2: Selecting lunch specials for the week. screens 1-2 of 5 - - + 140%