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An auto manufacturer produces two body styles, sedan and convertible, each available in black, white, silver, red, and blue. Upholstery and interiors can be ordered in black, white, red, or blue, but the manufacturer will not put a red interior in a blue body or a blue interior in a red body. For an auto show, the manufacturer wants to display different available combinations to the limit of the space available. Because silver is considered too common, the decision is made not to display any vehicles with silver bodies. The number of remaining combinations is too large for the available space, so the decision is made to display half the interior/exterior color combinations as sedans and half as convertibles. Find the number of vehicle combinations that are actually possible and the number of vehicles that will be displayed.
  • a)
    Number of possible combinations 36, Number of vehicles to be displayed 14
  • b)
    Number of possible combinations 36, Number of vehicles to be displayed 18
  • c)
    Number of possible combinations 34, Number of vehicles to be displayed 14
  • d)
    Number of possible combinations 28, Number of vehicles to be displayed 14
  • e)
    Number of possible combinations 36, Number of vehicles to be displayed 24
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
An auto manufacturer produces two body styles, sedan and convertible, ...
At first glance, there are 40 possible models: 2 body types × 5 exterior colors × 4 interior colors. However, you also must subtract the four combinations the company refuses to make: the blue with red interior and the red with blue interior for both sedan and convertibles. Therefore, there are 36 possible combinations. When the decision is made not to show the silver, the number is reduced to 2 × 4 × 4 – 2 = 30 cars, but that is too many for the space. Therefore, the 4 × 4 – 2 = 14 interior/exterior color combinations will be displayed as 7 sedans and 7 convertibles.
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Window 1:Car RebateCar manufacturers often provide a rebate on new car purchases. The offer of a cash reward for purchasing a car is often enough to convince consumers to prefer one American-made model over another.A certain car manufacturer, a large retailer of luxury cars, has several manufacturer rebate promotions on popular car models in January 2015. To qualify, a person must purchase specific vehicles and subscribe to the rules of the Access Program.Window 2: Price List for CarsWindow 3: Access program levels of benefitBusiness Partners: Those who join the car company’s Business Partners program or who are members of the Associated Builder’s and Contractor’s Union are eligible for 100% of the rebate amount.Adaptive Equipment Partners: Those who require adaptive equipment or other customizations for health reasons, and who submit the appropriate paperwork and medical documentation at the time of purchase, are eligible for 100% of the rebate amount.Customer Loyalty Partners: Purchasers who hold credit cards with the car company, who work for the company, or who have a trade-in that was purchased from the same dealership are eligible for 75% of the rebate amount.Cash Earns Cash Bonus: Purchasers who have a trade of significant value, who trade a car made by the car manufacturer but purchased from a different dealership, or who are paying cash for the car are eligible for 50% of the rebate amount.Q: Consider each of the items listed below. Select Yes if the item can be determined based on the information given in the three sources. Otherwise, select No.

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An auto manufacturer produces two body styles, sedan and convertible, each available in black, white, silver, red, and blue. Upholstery and interiors can be ordered in black, white, red, or blue, but the manufacturer will not put a red interior in a blue body or a blue interior in a red body. For an auto show, the manufacturer wants to display different available combinations to the limit of the space available. Because silver is considered too common, the decision is made not to display any vehicles with silver bodies. The number of remaining combinations is too large for the available space, so the decision is made to display half the interior/exterior color combinations as sedans and half as convertibles. Find the number of vehicle combinations that are actually possible and the number of vehicles that will be displayed.a)Number of possible combinations 36, Number of vehicles to be displayed 14b)Number of possible combinations 36, Number of vehicles to be displayed 18c)Number of possible combinations 34, Number of vehicles to be displayed 14d)Number of possible combinations 28, Number of vehicles to be displayed 14e)Number of possible combinations 36, Number of vehicles to be displayed 24Correct answer is option 'E'. Can you explain this answer?
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An auto manufacturer produces two body styles, sedan and convertible, each available in black, white, silver, red, and blue. Upholstery and interiors can be ordered in black, white, red, or blue, but the manufacturer will not put a red interior in a blue body or a blue interior in a red body. For an auto show, the manufacturer wants to display different available combinations to the limit of the space available. Because silver is considered too common, the decision is made not to display any vehicles with silver bodies. The number of remaining combinations is too large for the available space, so the decision is made to display half the interior/exterior color combinations as sedans and half as convertibles. Find the number of vehicle combinations that are actually possible and the number of vehicles that will be displayed.a)Number of possible combinations 36, Number of vehicles to be displayed 14b)Number of possible combinations 36, Number of vehicles to be displayed 18c)Number of possible combinations 34, Number of vehicles to be displayed 14d)Number of possible combinations 28, Number of vehicles to be displayed 14e)Number of possible combinations 36, Number of vehicles to be displayed 24Correct answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about An auto manufacturer produces two body styles, sedan and convertible, each available in black, white, silver, red, and blue. Upholstery and interiors can be ordered in black, white, red, or blue, but the manufacturer will not put a red interior in a blue body or a blue interior in a red body. For an auto show, the manufacturer wants to display different available combinations to the limit of the space available. Because silver is considered too common, the decision is made not to display any vehicles with silver bodies. The number of remaining combinations is too large for the available space, so the decision is made to display half the interior/exterior color combinations as sedans and half as convertibles. Find the number of vehicle combinations that are actually possible and the number of vehicles that will be displayed.a)Number of possible combinations 36, Number of vehicles to be displayed 14b)Number of possible combinations 36, Number of vehicles to be displayed 18c)Number of possible combinations 34, Number of vehicles to be displayed 14d)Number of possible combinations 28, Number of vehicles to be displayed 14e)Number of possible combinations 36, Number of vehicles to be displayed 24Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An auto manufacturer produces two body styles, sedan and convertible, each available in black, white, silver, red, and blue. Upholstery and interiors can be ordered in black, white, red, or blue, but the manufacturer will not put a red interior in a blue body or a blue interior in a red body. For an auto show, the manufacturer wants to display different available combinations to the limit of the space available. Because silver is considered too common, the decision is made not to display any vehicles with silver bodies. The number of remaining combinations is too large for the available space, so the decision is made to display half the interior/exterior color combinations as sedans and half as convertibles. Find the number of vehicle combinations that are actually possible and the number of vehicles that will be displayed.a)Number of possible combinations 36, Number of vehicles to be displayed 14b)Number of possible combinations 36, Number of vehicles to be displayed 18c)Number of possible combinations 34, Number of vehicles to be displayed 14d)Number of possible combinations 28, Number of vehicles to be displayed 14e)Number of possible combinations 36, Number of vehicles to be displayed 24Correct answer is option 'E'. Can you explain this answer?.
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Find the number of vehicle combinations that are actually possible and the number of vehicles that will be displayed.a)Number of possible combinations 36, Number of vehicles to be displayed 14b)Number of possible combinations 36, Number of vehicles to be displayed 18c)Number of possible combinations 34, Number of vehicles to be displayed 14d)Number of possible combinations 28, Number of vehicles to be displayed 14e)Number of possible combinations 36, Number of vehicles to be displayed 24Correct answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of An auto manufacturer produces two body styles, sedan and convertible, each available in black, white, silver, red, and blue. Upholstery and interiors can be ordered in black, white, red, or blue, but the manufacturer will not put a red interior in a blue body or a blue interior in a red body. For an auto show, the manufacturer wants to display different available combinations to the limit of the space available. Because silver is considered too common, the decision is made not to display any vehicles with silver bodies. The number of remaining combinations is too large for the available space, so the decision is made to display half the interior/exterior color combinations as sedans and half as convertibles. Find the number of vehicle combinations that are actually possible and the number of vehicles that will be displayed.a)Number of possible combinations 36, Number of vehicles to be displayed 14b)Number of possible combinations 36, Number of vehicles to be displayed 18c)Number of possible combinations 34, Number of vehicles to be displayed 14d)Number of possible combinations 28, Number of vehicles to be displayed 14e)Number of possible combinations 36, Number of vehicles to be displayed 24Correct answer is option 'E'. Can you explain this answer?, a detailed solution for An auto manufacturer produces two body styles, sedan and convertible, each available in black, white, silver, red, and blue. Upholstery and interiors can be ordered in black, white, red, or blue, but the manufacturer will not put a red interior in a blue body or a blue interior in a red body. For an auto show, the manufacturer wants to display different available combinations to the limit of the space available. Because silver is considered too common, the decision is made not to display any vehicles with silver bodies. The number of remaining combinations is too large for the available space, so the decision is made to display half the interior/exterior color combinations as sedans and half as convertibles. Find the number of vehicle combinations that are actually possible and the number of vehicles that will be displayed.a)Number of possible combinations 36, Number of vehicles to be displayed 14b)Number of possible combinations 36, Number of vehicles to be displayed 18c)Number of possible combinations 34, Number of vehicles to be displayed 14d)Number of possible combinations 28, Number of vehicles to be displayed 14e)Number of possible combinations 36, Number of vehicles to be displayed 24Correct answer is option 'E'. Can you explain this answer? has been provided alongside types of An auto manufacturer produces two body styles, sedan and convertible, each available in black, white, silver, red, and blue. Upholstery and interiors can be ordered in black, white, red, or blue, but the manufacturer will not put a red interior in a blue body or a blue interior in a red body. For an auto show, the manufacturer wants to display different available combinations to the limit of the space available. Because silver is considered too common, the decision is made not to display any vehicles with silver bodies. The number of remaining combinations is too large for the available space, so the decision is made to display half the interior/exterior color combinations as sedans and half as convertibles. Find the number of vehicle combinations that are actually possible and the number of vehicles that will be displayed.a)Number of possible combinations 36, Number of vehicles to be displayed 14b)Number of possible combinations 36, Number of vehicles to be displayed 18c)Number of possible combinations 34, Number of vehicles to be displayed 14d)Number of possible combinations 28, Number of vehicles to be displayed 14e)Number of possible combinations 36, Number of vehicles to be displayed 24Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice An auto manufacturer produces two body styles, sedan and convertible, each available in black, white, silver, red, and blue. Upholstery and interiors can be ordered in black, white, red, or blue, but the manufacturer will not put a red interior in a blue body or a blue interior in a red body. For an auto show, the manufacturer wants to display different available combinations to the limit of the space available. Because silver is considered too common, the decision is made not to display any vehicles with silver bodies. The number of remaining combinations is too large for the available space, so the decision is made to display half the interior/exterior color combinations as sedans and half as convertibles. Find the number of vehicle combinations that are actually possible and the number of vehicles that will be displayed.a)Number of possible combinations 36, Number of vehicles to be displayed 14b)Number of possible combinations 36, Number of vehicles to be displayed 18c)Number of possible combinations 34, Number of vehicles to be displayed 14d)Number of possible combinations 28, Number of vehicles to be displayed 14e)Number of possible combinations 36, Number of vehicles to be displayed 24Correct answer is option 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
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