As part of a game, five people each must secretly choose an integer between 1 and 5, inclusive. What is the approximate likelihood that all five people will choose different numbers?
Choose the correct choice from the following:
A) 4%  B) 12%  C) 16%  D) 20%  E) 25%
4%ns:a)   1st person has option no's- (1,2,3,4,5) - there fore probability of getting a no = 5c1/5c1 = 1   2nd person has option no's any four ,   he has to choose a no from four no's - there fore probability of getting a no = 4c1/5c1 = 4/5   3rd person has option no's any three ,   he has to choose a no from three no's -there fore probability of getting a no = 3c1/5c1 = 3/5   4th person has option no's any two - there fore probability of getting a no = 2c1/5c1 = 2/5   4th person has option no's only one - there fore probability of getting a no = 1c1/5c1 = 1/5   =1*4/5*3/5*2/5*1/5 = 4%
<result>A</result>
As part of a game, five people each must secretly choose an integer between 1 and 5, inclusive. What is the approximate likelihood that all five people will choose different numbers?