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  • Using the digits 0 through 9, and with the possibility of repetition, a combination lock requires a 5-digit code. What is the number of possible combinations?<

Using the digits 0 through 9, and with the possibility of repetition, a combination lock requires a 5-digit code. What is the number of possible combinations?

Option: 1

100


Option: 2

10000


Option: 3

100000


Option: 4

1000


Answers (1)

best_answer

The number of 5-digit arrangements that can be created using the digits 0 through 9 must be determined.

We are considering 5-digit arrangements and not numbers

We have 10 choices. For each of the 5 locations in the arrangement, the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are used.

Therefore, there are a total of 5-digit arrangements that can be created by,

\begin{aligned} &n=10 \times 10 \times 10 \times 10 \times 10\\ &n=100000 \end{aligned}

Therefore, the digits 0 through 9 can be combined in 100000 different ways to create a 5-digits combination lock.

 

Posted by

Rishabh

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