The latest car from the Toyobishi Motor Corporation is called the Marmoset. Cust

Question

The latest car from the Toyobishi Motor Corporation is called the Marmoset. Customers can choose several options: sedan or hatchback: 2-door or 4-door (in the hatchback, the rear hatch is not counted as a door): leather or vinyl upholstery: a standard or deluxe console (the deluxe has a backup camera, well worth the extra cost): and gray or black exterior (yes, those are boring colors, but what do you expect from a car named a Marmoset?) Any combinations are allowed, except for these exceptions: (a) If you order either a sedan or a 2-door, you must select either the gray body or the deluxe console (or both). (b) Black sedans only come with leather seats. (c) You can't order any vehicle with leather upholstery and the deluxe console, unless you select the gray exterior color. (d) The vinyl upholstery is not available on any 2-door vehicle with the deluxe console. Alice wants a Marmoset, and she insists on a 2-door sedan. What other options are available to her? (a) Her only option is to choose the gray exterior, leather seats, and standard console. (b) She must accept a gray exterior and the leather seats, but she can pick between the standard and deluxe consoles. (c) She must accept a gray exterior with the standard console, but she can choose between leather and vinyl seats. (d) She must accept leather seats and standard console, but she has a choice between gray and black exteriors. (e) She must accept, a gray exterior, but she can choose between leather and vinyl seats, and she can choose between standard and deluxe consoles.

Explanation / Answer

Hi,
lets first list down all options,
1. sedan/hatchback
2. 2 door/4 door
3. leather/vinyl
4.standard/deluxe
5.gray/black.
Now, lets look at each option,
a. since both b and c are true, this is not her only option, hence FALSE
b. choosing gray, we satisfy the first condition,and the third and the fourth, so B is TRUE
c. similar to b, with this all conditions are satisfied with this. so C is TRUE
d. This is not possible because if she accepts leather seats, then she doesn't have a choice as its given only black sedans have leather seats, so this is FALSE

e.This is also not possible becuase if she chooses gray and vinyl seats then the console choice is gone, she cannot have a deluxe console, as its given vinyl is not available with deluxe console on 2 door vechicle, hence FALSE.
Thumbs up if this was helpful, otherwise let me know in comments.

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