# How many 5-digit numbers can be formed using (0-9)?

##### 1 Answer

#### Answer

#### Answer:

#### Explanation

#### Explanation:

#### Answer:

(1) : Without Repetition of digits,

(2) : With Repetition,

#### Explanation:

There are

**Case (1) : Digits not repeated :-**

Usually, we do not write the Left-most (the

Thus, the

Coming to the selection of the

Now, for the

For the

Finally, using the **Fundamental Principle of Counting,** we can form

**Case (2): Digits repeated :-**

In this case, the

For the

Now repetition is allowed. So, for the selection of digits for the places from

Accordingly, if repetition of digits is permitted, the five-digit numbers can be formed in:

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