Question

In how many different orders can you line up 8 cards on a table?(1 point)
Responses

8
8

40,320
40,320

1
1

1,680

Answer 1

To determine how many different orders you can line up 8 cards on a table, you can use the factorial notation. The number of different permutations of n items is given by \( n! \) (n factorial), which is calculated as the product of all positive integers up to n.

For 8 cards, this would be:

\[
8! = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 40,320
\]

Thus, the number of different orders in which you can line up 8 cards is **40,320**.