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
1,680
Responses
8
8
40,320
40,320
1
1
1,680
1,680
Answers
GPT-4o mini
To find the number of different orders in which you can line up 8 cards, you calculate the factorial of 8, denoted as \(8!\):
\[
8! = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 40,320
\]
Thus, the number of different orders to line up 8 cards is **40,320**.
\[
8! = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 40,320
\]
Thus, the number of different orders to line up 8 cards is **40,320**.