Q. 205.0( 1 Vote )

How many three-di

Answer :

Given: The odd digits are: 1, 3, 5, 7 and 9.


The total number of odd-digits = 5


To find: Total number of three-digit numbers, with distinct digits, with each digit odd like 135 or 159 etc.


Formula used:


Number of arrangements of n things taken r at a time = P(n, r)



The total number of ways in which this can be done


= the number of arrangements of 5 things taken 3 at a time


= P(5, 3)





= 5 × 4 × 3


= 60


Hence, total number of three-digit numbers, with distinct digits, with each digit odd are 60


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