120
420
3 items (or people) can line up in 6 different sequences. 6 items (or people) can line up in 720 different sequences.
36
21
One row of eighteen people, eighteen rows of one person, nine rows of two people or two rows of nine people.
How many different arrangements can be formed on a self with space for 3 books if there are 5different books available?3 x 5 = 15 different arrangement 4 men and 3 women are to occupy a row of 7 seats, and men are to occupy the 2 end seats.In how many different orders can these 7 people be seated?7! = 5,040 different orders of seat A baseball manager has decided who his 9 starting players are to be. How many different battingorders can be he have?9! = 362,880 different batting orders
Rodents
27!
120
If the people are always facing forward? 24 ways.
There are n! (n factorial) ways that n people can stand in line. So six people can stand in line in: 1*2*3*4*5*6 = 720 different ways
Infinitely! It depends on what pattern.
16 u just have to multiply
Six runners can finish in 36 different orders in a race. This sum is reached by multiplying the number of runners (6), by the number of runners (6).
SixIf only the order is interesting (not the direction that they are oriented) then In the first place there can be any of the three, in the second place there can be either of the two left and then the last place is a given so: 3 * 2 * 1 = 6Six different orders for three people standing in a line.If their direction is also interesting to take into account (e.g. the middle person facing north while the others face east) then you have to know how many different directions and if standing on their heads counts as different etc.
To rule the people and promote orders
6 permute 6 =720 ways :))