1.

From all 9 digit numbers, one is selected at random. The probability that the selected number has distinct digits is

Answer»

Correct option: (c)

Explanation:

Nine distinct and ordered digits can be chosen from 10 (0 to 9) numbers in 10P9 = 10! ways, out of which 0 will appear in the first place in 9P8 = 9!. The total number of 9 digit number is 9 x 108. Therefore,  the probability that the selected number has distinct digits is (9 x 9!)/(9 x 108) = 9!/ 108.



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