Trump, Kim, Justin, Modi, Putin and Sefu are at a round table dinner. [The answers of the following questions are integers.Put the answer only.Don't use space,decimal points,comma etc] i. How many ways can they sit around the dinner table? ii. If it is known that Trump cherished a dream of having dinner sitting BESIDE Sefu since his childhood. How many ways can they sit around the round table so that Trump's childhood dreams come true? ii. Instead of a round table,if the 6 men had to sit in a straight bench (linear arrangement),in how many sitting arrangements,would Kim and Modi sit at the two ends of the bench? iv. It is known that if any two of Trump, Kim and Putin sit beside each other (while sitting in a linear fashion), the dinner may end up in a disaster. In how many ways can they sit so that the dinner may NOT end in a disaster (i.e. how many ways can they sit so that none of Trump, Kim or Putin sits adjacent to each other)?

Trump, Kim, Justin, Modi, Putin and Sefu are at a round table dinner. [The answers of the following questions are integers.Put the answer only.Don't use space,decimal points,comma etc] i. How many ways can they sit around the dinner table? ii. If it is known that Trump cherished a dream of having dinner sitting BESIDE Sefu since his childhood. How many ways can they sit around the round table so that Trump's childhood dreams come true? ii. Instead of a round table,if the 6 men had to sit in a straight bench (linear arrangement),in how many sitting arrangements,would Kim and Modi sit at the two ends of the bench? iv. It is known that if any two of Trump, Kim and Putin sit beside each other (while sitting in a linear fashion), the dinner may end up in a disaster. In how many ways can they sit so that the dinner may NOT end in a disaster (i.e. how many ways can they sit so that none of Trump, Kim or Putin sits adjacent to each other)?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The prices of 3 commodities X, Y Z are not known. A sells 5 units of X, 4 units of Z and purchases 6 units of Y. B sells7 units of X, 4 units of Y and purchases 3 units of Z. C sells 2 units of X, one unit of Y and 6 units of Z. In this process,A, B and C earn respectively Rs. 15, Rs. 19 and Rs. 46. Find the prices of the commodities X, Y and Z
23) Max and Jill both uses quarters to fill a parking meter. Max's parking meter is for 2 hours and Jill's parking meter is for 1 hour and 30 minutes. Max goes into a store and when he comes back, he sees that his parking meter has 4 of the time left. Jill goes for a run and when she comes back she sees that her parking meter has 4 of the time left. Who has more time left? By how many minutes?
Show complete solution
the following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2020.† Set up a system and then solve using technology. Airline United American JetBlue Southwest Cost per 1,000 miles ($) 181 197 123 134 Suppose that, on a 3,000-mile New York to Los Angeles flight, United, American, and Southwest flew a total of 205 empty seats, costing them a total of $103,830. If United had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight? United _____empty seats American _____empty seats Southwest ____empty seats
Families who have pets are classified as having one, two or three pets. Let say that in a given year, 15% of families with one pet move to have 3 pets, and 5% move to have 2 pets; also 6% of all families with 3 pets move to having only one pet, and 4% move to having 2 pets; finally, 4% of all families having 2 pets move to having 1 pet and 6% move to 3 pets. The cost of having 1 pet is close to $500 a year, for 2 it is $750 and for 3 pets $825. What is the expected cost to having one pet, two pet or three pets? Please do fast ASAP fast
A vendor specializing in outdoor gear offers customers three ways to place orders for home delivery. Customers can place orders either in the store, online, or via telephone using a catalog. Of the orders, three-quarters are made online with one-eighth each made in stores or via telephone. Of the online orders, 30% are only for clothing, 30% are only for camping supplies, and 40% are for both. For orders placed in the store, all are for clothing (to order a size that is not in stock). Among orders placed via telephone, 50% are only for clothing, 20% are only for camping supplies, and 30% are for both. Answer parts (a) and (b). (a) Organize these probabilities as a probability table. Purchase Method On-Line In Store Telephone Total Clothing 0.225 0.125 0.0625 0.4125 Purchase Camping 0.225 0.025 0.25 Both 0.3 0. 0.0375 0.3375 Total 0.75 0.125 0.125 1 (Simplify your answers. Type integers or decimals.) (b) What's the probability that the customer orders clothing, either by itself or in…
A wireless carrier offers the following plans that a person is considering. The Family Plan: $ 95 monthly fee, unlimited talk and text on up to 5 lines, and data charges of $ 47 for each device for up to 2 GB of data per device. The Mobile Share Plan: $ 180 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $ 30 for each device up to a shared total of 10 GB of data. Use P for the number of devices that need data plans as part of their cost. Find the model of the total cost of the Family Plan $ Find the model of the total cost of the Mobile Share
3) A company needs to deliver product to each of their 5 stores in the Dallas area. Driving distances are shown below. Use any system you prefer to find a route for the driver to leave Fort Worth, visit each of the stores and then return to Fort Worth. Fort Worth Plano Mesquite Arlington Plano 54 Mesquite 52 38 Arlington 19 53 43 Denton 42 41 56 50