How many ways can 9 cars be parked in a row of 9 parking spaces?
Answer: 81 ways
Is this correct?
Thanks for your help.
its 9C9*9!
No. I would look at the factorial.
I think that I see what I did wrong.
Should it be 9*8*7*6*5*4*3*2*1?
Thanks.
To find the number of ways to park 9 cars in a row of 9 parking spaces, we can use the concept of permutations.
The number of ways to arrange the cars in the parking spaces is equal to the number of permutations of 9 cars taken 9 at a time.
The formula for permutations is given by n! / (n-r)!, where n is the total number of objects and r is the number of objects to be selected.
In this case, n = 9 (number of cars) and r = 9 (number of parking spaces).
Substituting these values into the formula, we get:
9! / (9-9)! = 9! / 0! = 9! / 1 = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 362,880
So there are 362,880 ways to park 9 cars in a row of 9 parking spaces.
Therefore, the answer 81 ways is incorrect. The correct answer is 362,880 ways.
Please let me know if you need any further assistance.