posted by .

in a competition 5 figure skaters will skate in a randomely assigned order. why can't you evaluate the product 5*5*5*5*5 to find the number of possible orders in which the skaters can skate

there are 5 skaters sitting in a penalty box.
A B C D E
You pull one out at random.
Say it is C and our chance is 1/5 for picking C
NOW WE HAVE 4
A B D E
Say it is A and our chance is 1/4 for picking A ( NOT 1/5 !!!!)
Next we pick B (1/3)
Next D (1/2)
Next E (1/1 or 1)
SO
our chances of picking that order are
(1/5)(1/4)(1/3)(1/2)(1/1)
or
1/5!
SO
and the number of possible orders is
5! = 120

## Similar Questions

1. ### physic

two figure skaters, one weighting 625N and the other 725N,push off against each other on frictionless ice. a) if the heavest skater travels at 1.50m/s, how fast will the lighter one travel?
2. ### Physics

Two ice skaters, with masses of 30kg & 85 kg are at the center of a 30m diameter circular rink. The skaters push off against each other & glide to opposite edges of the rink. If the heavier skater reaches the edge in 40s, how long …
3. ### physics

Two skaters, one with mass 62 kg and the other with mass 45 kg, stand on an ice rink holding a pole of length 10 m and negligible mass. Starting from the ends of the pole, the skaters pull themselves along the pole until they meet. …
4. ### Physics

two skaters, each of mass 55 kg, approach each other along parallel paths separated by 3.8 m. They have opposite velocities of 1.9 m/s each. One skater carries one end of a long pole with negligible mass, and the second skater grabs …
5. ### Physics

Two identical ice skaters are holding onto opposite ends of a very long spring with a spring constant of 650 N/m. While spinning in a circle, the skaters frequency of revolution is measured to be 0.85 Hz. Calculate the mass of the …
6. ### physics

In the figure, two skaters, each of mass 58.0 kg, approach each other along parallel paths separated by 2.79 m. They have opposite velocities of 1.50 m/s each. One skater carries one end of a long pole of negligible mass, and the other …
7. ### Physics

Two skaters, Alan and Betsy, move toward each other on a very smooth skating rink. Their masses and speeds are respectively: 60 kg; 4.0 m/s and 50 kg; 0.4 m/s. After the skaters collide and use their hands to push each other away, …
8. ### English

1. Over 15,000 skaters entered the race. 2. More than 15,000 skaters took part in the race. 3. Over 15,000 skaters joined the race. (Are they all the same and grammatical?
9. ### mechanics

Two skaters, each of mass 70 kg, skate at speeds of 4 m/s in opposite directions along parallel lines 1.5 m apart. As they are about to pass one another they join hands and go into circular paths about their common center of mass. …
10. ### English

1. In 1963, how many percent of the skaters finished the race?

More Similar Questions