2007-02-23 12:16:47 · 4 answers · asked by juliandbn 1 in Science & Mathematics ➔ Mathematics
The number of orders that 5 runners can finish a race is 5! or 5*4*3*2*1. The answer is 120.
SInce there are 5 runners there are 5 possibilities for first place. The possibilities for second are 4 because there are 4 runners left to take second. That makes a total of 20 possibilities for first and second place winners. Third place will have 3 possible runners after first place and second have finished and fourth and fifth, four and five. That makes a total of 120 possibilities for first,second,third,fourth,and fifth place.
You can confirm this with a tree diagram
Hope this helped.
2007-02-23 13:00:42 · answer #1 · answered by AP 2 · 5⤊ 0⤋
It´s permutation of 5 = 5! = 5*4*3*2*1=120
2007-02-23 12:20:49 · answer #2 · answered by santmann2002 7 · 3⤊ 0⤋
5!=120
2007-02-23 12:24:32 · answer #3 · answered by ? 4 · 0⤊ 0⤋
5! = 120
2007-02-23 12:18:54 · answer #4 · answered by Anonymous · 0⤊ 0⤋