As part of a game, seven people each must secretly choose an integer between 1 and 7, inclusive. What is the approximate likelihood that all seven people will choose different numbers? Answers:
A) 1%
B) 12%
C) 16%
D) 20%
E) 25%
1%ns:a)   1st person has option no's- (1,2,3,4,5,6,7) - there fore probability of getting a no =7c1/7c1 = 1   2nd person has option no's any six ,   he has to choose a no from six no's - there fore probability of getting a no = 6c1/7c1 = 6/7   3rd person has option no's any five,   he has to choose a no from five no's -there fore probability of getting a no = 5c1/7c1 =5/7   4th person has 4 options - there fore probability of getting a no= 4c1/7c1 =4/7   5th person has 3 options - there fore probability of getting a no= 3c1/7c1 = 3/7   6th person has 2 options - there fore probability of getting a no= 2c1/7c1 = 2/7   7th person has only one option - there fore probability of getting a no= 1c1/7c1 = 1/7   =1*6/7*5/7*4/7*3/7*2/7*1/7 = 1%
<result>A</result>
As part of a game, seven people each must secretly choose an integer between 1 and 7, inclusive. What is the approximate likelihood that all seven people will choose different numbers?