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Question

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


A

5!

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B

9000

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C

625

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D

55

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Solution

The correct option is C

625


Since repetition of digits is allowed, therefore each of the four places can be filled in 5 ways (using any of 1,2,3,4,5).

Hence, the required number of numbers = 5 x 5 x 5 x 5 x 5 = 625.


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