As part of a game, three people each must secretly choose an integer between 1 and 3, inclusive. What is the approximate likelihood that all three people will choose different numbers?  Select the correct option.
A) 9%
B) 12%
C) 16%
D) 20%
E) 22%
Ans:22%   1st person has option no's- (1,2,3) - there fore probability of getting a no = 3c1/3c1 = 1   2nd person has option no's any three ,   he has to choose a no from three no's - there fore probability of getting a no =2c1/3c1 = 2/3   3rd person has option no's any two ,   he has to choose a no from two no's -there fore probability of getting a no = 1c1/3c1 = 1/3   =1*2/3*1/3=2/9=22%
<result>E</result>
As part of a game, three people each must secretly choose an integer between 1 and 3, inclusive. What is the approximate likelihood that all three people will choose different numbers?