# How Many Three Digit Numbers Can Be Formed by Using the Digits 0, 1, 3, 5, 7 While Each Digit May Be Repeated Any Number of Times? - Mathematics

How many three digit numbers can be formed by using the digits 0, 1, 3, 5, 7 while each digit may be repeated any number of times?

#### Solution

Since the hundred's place cannot be zero, it can be filled by any of the 4 digits (1, 3, 5 and 7).
∴ Number of ways of filling the hundred's place = 4
Since the digits can be repeated in the number, the ten's place and the unit's place can each be filled in 5 ways.
∴ Total numbers = 4xx5xx5=100

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.2 | Q 38 | Page 16