Four people must travel from one side of a bridge to the other. There is one flashlight among them. Anyone who travels across the bridge must use a flashlight. A maximum of two people can travel across the bridge at any particular time. The time it takes for each of the four people to travel over the bridge is 3, 5, 10, and 16 minutes, respectively. Given these conditions, construct a well organized and convincing argument in determining how it can be arranged such that it will take exactly 34 minutes for all four people to travel from one side of the bridge to the other.

Q: Use the Pigeonhole Principle for the following problems: da) Lemurs are being assigned to 8…

A: Pigeonhole principle states that if m pigeonholes are occupied by m + 1 pigeons, then at least one…

Q: A group of five boys (Alex, Bryan, Chris, David, and Ethan) and three girls (Megan, Nancy, and…

A:

Q: The port of Lajitas has three loading docks. The distance (in meters) between the loading docks is…

A: First consider the constraints. Every tanker must be assigned to a loading dock. We have to find…

Q: 6. A club with 20 heterosexual couples (40 people) needs a committee of 4 people. Determine how many…

A:

Q: 19 A food buffet selection has four (4) main ingredients (beef, seafood, chicken, and vegetables)…

A:

Q: The Jazz Band at City College has 33 students, and the Traveling Band has 42 students. Eight…

A: It is given that Jazz Band (J) =  33Travelling Band (T) =  42

Q: A woman is traveling with a wolf, a goose, and a mouse. She must cross a river in a boat that will…

A:

Q: A sushi restaurant offers a three-course buffet lunch. Each customer must make one selection from…

A: The customer can select 1 item : from the reddish range in 5 ways. from the yellow dish range in 6…

Q: lori is customizing her giant robot. She has 13 possible options for her robot's left arm, and 11…

A: Multiplication Principle of Counting If there are m possibilities for one event, and n possibilities…

Q: The IU East van that has a seating capacity of seven is to be used by seven athletes to get to the…

A: Given that, The IU East van that has a seating capacity of seven is to be used by seven athletes to…

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

A: Solution :-

Q: European Trip by car: You are planning European Trip and want travel between five different cities…

A:

Q: Peyton, Nathan and Alex are discussing the number of CDs they each own. They find that the following…

A: let the number of CDs owned by Nathan is x  so, Peyton owns two more than four times the number of…

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

A: The given problem is a LP problem. Let, X represent busses and Y represent vans.

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

A: Given:BusVanAvailableNo. of students9010540Chaperons5150Cost$1000$120To find:The number of buses and…

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

A: Define Variablesx: number of busesy: number of vansObjective FunctionMinimize…

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

A: The objective here is to find how many number of each type should the officers rent in order to…

Q: Suppose you’re thinking of attending Columbia, Hunter, or NYU. To decide, you want to visit all…

A: Factorial Rule: The total number of ways n different objects can be arranged where order of the…

Q: You are on a farm that raises cows and chickens. If there are 20 animals total, and the animals have…

A: Number of 4 feeted(cows)animals =                                                        ( L - 2H )…

Q: A parent downloads an app that allows him to monitor the amount of screen time his child is using on…

A: Introduction :-  Given :-  A parent downloads an app that allows him to monitor the amount of screen…

Q: How many ways can Susan assign someone to buy​ beverages, someone to arrange for​ food, and someone…

A: Here Given  Susan Has 9 Friends   (Vicki, Luis,​ Maddy, Hank, Rob, Sean, Marie, Roy, and Jeanne)

Q: Out of 10 families, six families have dogs, four have cats and two have neither cats nor dogs. Find…

A: The number of elements in the set can be calculated using the set formula. The union of the sets can…

Q: With a short time remaining in the day, a delivery driver has time to make deliveries at 6 locations…

A: Permutation:   It is nothing but the arrangement of items in a definite order where the order is…

Q: A student needs 8 more classes to graduate. If she has met the prerequisites for all the classes,…

A:

Q: How many ways are there to go from B to D?

A: here given  A boy lives at B and wants to go to school at D. From his home B he has to first reach C…

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

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Q: AT MOST two pairs of sneakers?

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Q: The cafeteria is serving french toast, cereal, and fruit. If a student may choose any two of those…

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Q: A town has a total population of 50,000. Out of it 28,000 read Ittefaq and 23,000 read Inclub while…

A: Total population = 50000 Number of 'Ittefaq' readers = 28000 Number of 'Inclub' readers = 23000 4000…

Q: AT LEAST one of each kind?

A:

Q: Mike, John, Paul, Luke and pete have $5000 total.. John has $100 less than mike; while paul brags…

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Q: I have a rectangular carton filled with Each of my 6 friends can be assigned an equal number of…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.