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
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Why researchers are interested in describing measures of the center and measures of variation of a data set?
Let Χ be a real-valued character (mod k). Let
k
S = Σnx(n).
n=1
If (a, k) = 1,
ax(a)S = S (mod k).
(iii) Write k = 2ºq where q is odd. Show that there is an integer a
with (a, k) = 1 such that a = 3 (mod 2ª) and a = 2 (mod q).
Deduce that 12S = 0 (mod k).
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.