10!, which is pronounced "10 factorial". This is calculated as 1 x 2 x 3 x 4 ... x 10.
First in line can be any of the 12, second can be any of the remaining 11, third any of 10 and fourth any of 9 so 12 x 11 x 10 x 9 ie 11880 different ways
Assuming the Ps and Is are indistinguishable: There are 10! / 3! / 3! = 100800 ways If the Ps and Is are distinguishable, then there are 10! = 3628800 ways
10
There are 13 ways.
I make it 136 ways.
If you imagine there are 10 spots on the floor in a line where people can stand, then the first person has 10 choices of where to stand. The second person has 9 choices since the first person is already on one of the spots. The third person has 8 choices. And so on until the last person has no choice. We can now mulitply the numbers together. 10x9x8x7x6x5x4x3x2x1. This is called a factorial (where you multiply all of the consecutive numbers together from 1) and it is written as 10!. This means there are 3,628,800 ways of arranging the 10 people
5 including the Ferry line. (-:
10!, which is pronounced "10 factorial". This is calculated as 1 x 2 x 3 x 4 ... x 10.
10 ways.10 ways.10 ways.10 ways.
for the first student in the line there are 10 choices, then for the second 9 choices left, for the third 8 choices left and so on... So it's 10x9x8x7x6x5x4x3x2x1 = 3628800
The answer is 10 over 3 (you write 10 over 3, without a fraction line in between, and with parentheses around the entire expression). This is calculated as (10 x 9 x 8) / (1 x 2 x 3).
First in line can be any of the 12, second can be any of the remaining 11, third any of 10 and fourth any of 9 so 12 x 11 x 10 x 9 ie 11880 different ways
You stand behind the white line at the back of the court. This is known as the base line.
10!
-- The beginning point of a line can be any one of the 10 points. For each of these ...-- The end point of the line can be any one of the remaining 9 points.So there are (10 x 9) = 90 ways to form a line with 2 of 10 non-colinear points.But once a line is drawn, there's no difference between it and the one that was drawn in the opposite direction between the same two points. So the 90 ways of forming lines actually produce (90 / 2) = 45 unique line segments.
Assuming the Ps and Is are indistinguishable: There are 10! / 3! / 3! = 100800 ways If the Ps and Is are distinguishable, then there are 10! = 3628800 ways