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A three digits numbre was chosen at rand...

A three digits numbre was chosen at random. Find the probability that it's hundreds digit, tens digit and units digit are consecutive integers in descending order.

A

`(1)/(75)`

B

`(4)/(225)`

C

`(2)/(225)`

D

`(1)/(45)`

Text Solution

Verified by Experts

The correct Answer is:
C
Let the number be xyz.
If x, y and z and consecutive integers in descending order, xyz=987 or 876 or 765 or 654 or 543 or 432 or 321 or 210.
Required probability `=(8)/(900)=(2)/(225)`.
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