If this is a homework assignment, please consider trying to answer it yourself first, otherwise the value of the reinforcement of the lesson offered by the assignment will be lost on you.
The possible ways of arranging a line of eleven people is equivalent to the number of permutations of eleven things taken eleven at a time. That is eleven factorial, or 39,916,800.
6! = 720
3 items (or people) can line up in 6 different sequences. 6 items (or people) can line up in 720 different sequences.
The number of ways to arrange six students in a lunch line can be calculated using the factorial of the number of students. Specifically, this is 6! (6 factorial), which equals 6 × 5 × 4 × 3 × 2 × 1 = 720. Therefore, there are 720 different ways to arrange six students in a lunch line.
There are 24 ways to arrange 4 people in a row.
If you keep them in a line, there are 24 ways to line them up. Then of course there are squares, diamonds, rectangles, parallelograms, stacks, etc.
6! = 720
3 items (or people) can line up in 6 different sequences. 6 items (or people) can line up in 720 different sequences.
That would be 5x4x3x2x1 or 5! or 120 ways to arrange those objects in a line.
The number of ways to arrange six students in a lunch line can be calculated using the factorial of the number of students. Specifically, this is 6! (6 factorial), which equals 6 × 5 × 4 × 3 × 2 × 1 = 720. Therefore, there are 720 different ways to arrange six students in a lunch line.
24 different ways.
There are 24 ways to arrange 4 people in a row.
If you keep them in a line, there are 24 ways to line them up. Then of course there are squares, diamonds, rectangles, parallelograms, stacks, etc.
24
In a line in 6! = 6*5*4*3*2*1 = 720 ways.
40320
24
24