Answer:
Explanation:
We may utilise the idea of permutations to calculate how many possible configurations a new car with ten options can have installed.
Step 1: Determine how many possibilities there are for each option. There are 10 choices in this situation.
Step 2: Establish the amount of options available. We want to know the complete amount of options available for the new car because we are thinking about every combination.
Step 3 is to use the permutations calculation formula. nPr = n! / (n - r)!, where n is the total number of possibilities and r is the number of choices, is the formula for permutations.
Step 4: Enter the values into the formula as substitutes. Because we wish to choose every one of the 10 possibilities available in this situation, r is equal to 10.
Step 5: Determine how many variations there are. We get 10! / (10 - 10)! = 10! / 0! = 10! / 1 = 10! using the formula.
Step 6: Make the phrase simpler. The formula for 10! is 10 9 8 7 6 5 4 3 2 1.
Step 7: Determine the outcome. The result of adding the numbers together is that 10! is the same as 3,628,800.
Therefore, there are 3,628,800 possible installation configurations for a new automobile with 10 options.