As part of a game, six people each must secretly choose an integer between 1 and 6, inclusive. What is the approximate likelihood that all six people will choose different numbers? Choose the correct choice from the following choices
A) 2%  B) 12%  C) 16%  D) 20%  E) 25%
2%ns:a)   1st person has option no's- (1,2,3,4,5,6) - there fore probability of getting a no = 6c1/6c1 = 1   2nd person has option no's any five ,   he has to choose a no from five no's - there fore probability of getting a no = 5c1/6c1 = 5/6   3rd person has option no's any four ,   he has to choose a no from four no's -there fore probability of getting a no = 4c1/6c1 = 4/6   4th person has only one option - there fore probability of getting a no= 3c1/6c1 =3/6   5th person has only one option - there fore probability of getting a no= 2c1/6c1 = 2/6   6th person has only one option - there fore probability of getting a no= 1c1/6c1 = 1/6   =1*5/6*4/6*3/6*2/6*1/6 = 2%
<result>A</result>
As part of a game, six people each must secretly choose an integer between 1 and 6, inclusive. What is the approximate likelihood that all six people will choose different numbers?