Compact Car Trailers
Data organized counting question?
A transporter truck has three compact cars, a station wagon, and a minivan on its trailer. In how many ways can the driver load the shipment so that one of the heavier vehicles is directly over the rear axle of the trailer?
Answer is 48 ways, please show work.
i take it that the station wagon (S) & the minivan (M) are the heavier vehicles
and that the compact cars are distinct (C1, C2 & C3)
starting from S at the rear axle, one arrangement is
SMC1C2C3
M has 3 other possible positions : SC1M .., SC1C2M, & SC1C2C3M
so 4 ways so far
C1C2C3 can be permutated among themselves in 3! = 6 ways
so there are 4*6 = 24 ways starting with S
there will similarly be another 24 ways starting with M
thus total # of ways = 48
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The World Of Rvs
Recreational vehicles (RVs) are, basically, mobile homes. But RVs are not only mobile homes; some, as in Australia, are sports utility vehicles (SUVs). These are enclosed equipment vehicles that provide space for relaxation and entertainment. They also have means to carry bikes, boats, and other recreational items. Comfort and convenience are primary in recreational vehicles.
These recreational vehicles, either bought or rented in North America and Canadian, serve for vacation travel, leisure trips, near or far, for family or groups of people who have shared plans. These look just right at the beach, resorts, picnic and camping areas, amusement parks, golf clubs, music concerts, and state parks. Homes-on-wheels, the larger recreational vehicles provide every convenience for adults and children, including TV (even satellite TV), DVD/CD entertainment centers, food preparation, sleeping areas, spacious tables, living areas, refrigerators, compactable seating, computer and Internet access, and an overall attractive, state-of-the-art appearance. These usually have great gas mileage and cost anywhere from $10,000 to $1,000,000, depending on size and amenities.
Classes of recreational vehicles are as follows:
Truck Camper-this recreational vehicle has an appended but spatially limited living space appended to the chassis with a cap hooked on the top.
Folding Camper Trailer-this pop-up lightweight recreational vehicle can be compacted for convenient storage. It can be towed by several vehicles.
Travel Trailer-this recreational vehicle is basically a camper trailer with a table, bathroom, sleeping area, and a bumper with a towing hitch.
Hybrid Trailer-similar to the travel trailer, the hybrid trailers recreational vehicle features a pull-out tent section over one part, which are typically beds. The other side has walls and a collapsible roof for towing convenience.
Fifth-Wheel Travel Trailer-this recreational vehicle has a hitch and can be towed by pick ups and other medium-weight vehicles.
Toy Hauler-this recreational vehicle is a motor home with a living area, a "garage" for motorcycle/ATV storage, and a fifth-wheel travel trailer.
Park Model-much like the travel trailer, this recreational vehicle needs a special tow vehicle for movement. A Highway-Movement Permit is required.
Motor Home-this recreational vehicle is also called a Winnebago. This comes in three sub-classes:
Class A: Motor Coach - this ranges from 26 to 45 feet long and are built on large chasses, such as those designed for busses and commercial trucks.
Class B: Campervan - a converted van with a raised roof or low-profile body in the rear. These range from 19 to 24 feet long.
Class C: Motor Home - truck- or van-based with some living space. The length of this class varies from 17 to 34 feet.
Toterhome-having an uncommon name, this recreational vehicle refers to a motor Home built on a freighterliner truck chassis and is designed to pull heavy loads while still boasting all the amenities and features of a large motor Home.
Recreational vehicles come in many shapes, sizes, and makes, with varied sets of amenities, depending on the individual's particular preferences and desires. These vehicles, although on a much smaller, can be arguably and comparably considered resorts on wheels (without the casinos), like mini-resorts or mini-hotel suites. Whatever variant is considered, comfort and enjoyment are a sure thing!
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