How Many Numbers of Four Digits Can Be Formed with the Digits 1, 2, 3, 4, 5 If the Digits Can Be Repeated in the Same Number? - Mathematics

How many numbers of four digits can be formed with the digits 1, 2, 3, 4, 5 if the digits can be repeated in the same number?

Solution

The thousand's place can be filled by any of the 5 digits.
∴ Number of ways of filling the thousand's place = 5
Since the digits can repeat in the number, the hundred's place, the ten's place and the unit's place can each be filled in 5 ways.
∴ Total numbers = 5xx5xx5xx5=625

Concept: Permutations
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.2 | Q 37 | Page 16