# How many 5-digit

Given: We have 3 digits, i.e. 0, 1 and 2

To Find: Number of 5-digit numbers formed

Let us represent the arrangement

For forming a 5-digit number, we have to fill 5 vacant spaces.

But the first place cannot be filled with 0, hence for filling first place, we have only 1 and 2

First place can be filled with 2 numbers, i.e. 1, 2 = 2 ways

Second place can be filled with 3 numbers = 3 ways

Third place can be filled with 3 numbers = 3 ways

The fourth place can be filled with 3 numbers = 3 ways

The fifth place can be filled with 3 numbers = 3 ways

Total number of ways = 2 × 3 × 3 × 3 × 3 = 162

162 5-digit numbers can be formed by using the digits 0, 1 and 2.

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 :

<span lang="EN-USRD Sharma - Mathematics

<span lang="EN-USRD Sharma - Mathematics

<span lang="EN-USRD Sharma - Mathematics

In how many ways RS Aggarwal - Mathematics

In how many ways RS Aggarwal - Mathematics

For a set of fiveRS Aggarwal - Mathematics

A mint prepares mRS Aggarwal - Mathematics

A sample of 3 bulRS Aggarwal - Mathematics

From among the 36RS Aggarwal - Mathematics

If 20 lines are dMathematics - Exemplar