Q. 205.0( 1 Vote )

# How many three-digit numbers are there, with distinct digits, with each digit odd?

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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