Mr. A randomly picks 3 distinct numbers from the set {1, 2, 3, 4, 5, 6, 7, 8, 9} and arranges them in descending order to form a three digit number. Mr. B randomly picks 3 distinct numbers from the set {1, 2, 3, 4, 5, 6, 7, 8} and also arranges them in descending order to form a 3 digit number.
Q. The probability that A and B has the same 3 digit number is :

Options

A. probability that Mr. A's 3 digit number is always greater then Mr. B's 3 digit number is `1/3`
B. probability that Mr. A and Mr. B has the same 3 digit numbers is `1/84`
C. probability that Mr. A's 3 digit number is greater then Mr. B's 3 digit number is `37/56`
D. probability that Mr. A's 3 digit number is greater then Mr. B's 3 digit number is `1/3`

Answer

C