A person can purchase a particular model of a new car with a choice of ten colors, with or without automatic transmission, with or without four-wheel drive, with or without air conditioning, and with two, three, or four radio-CD speakers. How many different options are there for this model of the car?
A person can purchase a particular model of a new car with a choice of ten colors, with or without automatic transmission, with or without four-wheel drive, with or without air conditioning, and with two, three, or four radio-CD speakers. How many different options are there for this model of the car?
A person can purchase a particular model of a new car with a choice of ten colors, with or without automatic transmission, with or without four-wheel drive, with or without air conditioning, and with two, three, or four radio-CD speakers. How many different options are there for this model of the car?
Expert Solution & Answer
To determine
To calculate: The number of ways to purchase a car when choices given in colors are10, choices in AC are 2, choices in four-wheel drive as well as choices in the automatic transmission are 2, and the choices in CD player are3..
Answer to Problem 1T
Solution:
The number of ways to purchase a car is 240.
Explanation of Solution
Given:
The choices given in colors are 10, choices in AC are 2, choices in four-wheel drive as well as choices in the automatic transmission are 2, and the choices in CD player are 3.
Calculation:
The number of ways to purchase a car can be calculated by multiplying the given number of choices in color to the given number of the choices in AC, the choices in automatic transmission, choices in four-wheel drive, and the choices in CD player.
Compute the number of ways to purchase a car using the equation as shown below:
No. of ways to purchase a car=Choice in color×Choice in AC×Choice in drive×Choice in automatic transmission×Choice in CD player=10×2×2×2×3=240
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