Q.

Mr. A randomly picks 3 distinct numbers from the set {1, 2, 3, 4,.....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,......8} and also arranges them in  descending order to form a three digit number 

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a

Probability that Mr. A’s 3 digit number is greater than Mr. B’s 3 digit number is 1/3

b

Probability that Mt A’S 3 digit number is always greater than Mr B’S 3 digit number is 13

c

Probability that Mr. A and Mr.B has the same 3 digit number is 184

d

Probability that Mr.A’s 3 digit number is greater than Mr. B’s 3 digit number is 37/56

answer is B, C.

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Detailed Solution

Favorable (When 9 is not included)  8C38C38C32
and required probability is  8C38C38C3 2.9C38C3+13=3756

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