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

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Four letters E, KRD Sharma - Mathematics

. There are 6 iteRD Sharma - Mathematics

How many permutatRD Sharma - Mathematics

Find the total nuRD Sharma - Mathematics

In how many ways RD Sharma - Mathematics

From among the 36RD Sharma - Mathematics

How many differenRD Sharma - Mathematics

How many three-diRD Sharma - Mathematics

In how many ways RD Sharma - Mathematics

How many three-diRD Sharma - Mathematics