How many ways can seven students line up for a class picture?
A. 5,040
B. 210
C. 28
D. 7.
The number of ways to arrange a group of $n$ people is $n!$, so the number of ways to arrange 7 people is $7!$. Evaluating $7!$ gives $7\times6\times5\times4\times3\times2\times1=5,\!040$. Therefore, the answer is $\boxed{\textbf{(A)}\ 5,040}$.
so whats the answer?
The answer is $\boxed{\textbf{(A)}\ 5,040}$.
To calculate the number of ways the seven students can line up for a class picture, we can use the concept of permutations.
The number of permutations of n objects is given by n!
In this case, we have seven students, so n = 7.
So the number of ways the seven students can line up is 7!.
To calculate 7!, we multiply all the numbers from 7 down to 1:
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040
Therefore, the answer is A. 5,040.