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

We have to find the possible number of four digit numbers that are formed with the numbers 1, 2, 3, 4, 5 when repetition of digits is allowed.

We will use the concept of multiplication because there are four sub jobs dependent on each other and are performed one after the other.

There is a total of five choices for every position as repetition is allowed and there is no zero in the given choices of numbers.

The number of ways in which we can form four digit numbers when repetition of digits is allowed along with given numbers 5 × 5 × 5 × 5 = 54 = 625

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