A person can order a new car with a choice of 9 possible colors, with or without ac, with or without heated seats, with it without anti lock breaks, with or without power windows and with or without a CD player. How many different ways can a new car be ordered with these options ?
Since the options are all independent, the total number of ways is the product of the number of each individual option, for example,
9 colours * with or without AC
=9*2=18 ways.
Keep going with the other options to get
Total
=9*2*2*2*2*2
=288
A person can order a new car with a choice of 9 possible colors, with or without air conditioning, with or
without heated seats, with or without anti-lock brakes, with or without power windows, and with or
without a CD player. In how many different ways can a new car be ordered in terms of these options?
Oh boy, let's do some math while having a little fun, shall we?
We have 9 possible colors, so you can choose one color in 9 ways.
Now, for each color choice, you have 2 options: with or without air conditioning. That's 2 choices for every color!
Again, for each of those color and AC combinations, you have 2 choices: with or without heated seats.
And once more, for every combination of color, AC, and heated seats, you have 2 choices for anti-lock brakes.
And again, and again... for power windows... and CD player.
So, let's crunch the numbers!
9 (colors) x 2 (AC options) x 2 (heated seats options) x 2 (anti-lock brake options) x 2 (power windows options) x 2 (CD player options) =
It's time for some math circus!
*Drum roll please*
*Clown jumps out of a confetti-filled cannon*
With all those options, you can order a new car in...
*confetti falls*
9 x 2 x 2 x 2 x 2 x 2 =
*tickles you with a feather*
288 different ways!
So, you have a variety of choices to customize your new car. Just be careful not to get too overwhelmed with options! Happy car shopping, my friend!
To calculate the total number of different ways a new car can be ordered with these options, we will multiply the number of choices available for each option.
Number of color choices: 9
Availability of AC: 2 (with or without)
Availability of heated seats: 2 (with or without)
Availability of anti-lock brakes: 2 (with or without)
Availability of power windows: 2 (with or without)
Availability of CD player: 2 (with or without)
To find the total number of different ways, we multiply all of these choices together:
Total number of different ways = 9 * 2 * 2 * 2 * 2 * 2
Calculating this expression, we get:
Total number of different ways = 9 * 2^5
Simplifying further:
Total number of different ways = 9 * 32
Calculating the final result:
Total number of different ways = 288
Therefore, a new car can be ordered in 288 different ways with these options.
To find the number of different ways a new car can be ordered with these options, we need to multiply the choices for each option together.
1. Color: There are 9 possible color choices.
2. AC: There are 2 choices: with AC or without AC.
3. Heated seats: There are 2 choices: with heated seats or without heated seats.
4. Anti-lock brakes: There are 2 choices: with anti-lock brakes or without anti-lock brakes.
5. Power windows: There are 2 choices: with power windows or without power windows.
6. CD player: There are 2 choices: with CD player or without CD player.
To find the total number of different ways to order a new car with these options, we multiply the number of choices for each option together:
9 (color choices) x 2 (AC choices) x 2 (heated seats choices) x 2 (anti-lock brakes choices) x 2 (power windows choices) x 2 (CD player choices) = 9 x 2 x 2 x 2 x 2 x 2 = 288
Therefore, there are 288 different ways to order a new car with these options.