how many ways can 9 cars be parked in a row of 9 parking spaces?
To determine the number of ways 9 cars can be parked in a row of 9 parking spaces, we can use the concept of permutations.
Since there are 9 cars and 9 parking spaces, each car can occupy one parking space. Therefore, the first car has 9 choices of where to park, the second car has 8 choices (excluding the space already occupied by the first car), the third car has 7 choices, and so on.
To find the total number of ways, we multiply the number of choices for each car together:
9 choices for the first car × 8 choices for the second car × 7 choices for the third car × ... × 1 choice for the ninth car
Mathematically, this can be represented as 9 × 8 × 7 × ... × 1, which is equal to 9 factorial (written as 9!).
Calculating 9!:
9! = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 362,880
Therefore, there are 362,880 ways to park 9 cars in a row of 9 parking spaces.
There are 9 ways to park the first car,
for each of those there are 8 ways to park the second,
etc
what is 9x8x7x6x5x4x3x2x1 ??