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You have a safe and the password of which can be a number of 1-10 digits. If you have the digits 0-9, How many possible passwords can you make?

Note:- 1)Please remember that the safe can accept any number of 1 to 10 digits.

2)You can leave your answer in a factorial or exponential form. No need for the absolute value

Note by Mehul Arora
2 years, 3 months ago

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10^10 + 10^9 + 10^8...... · 2 years, 3 months ago

Yeah! Thanks! · 2 years, 3 months ago

$$10^{10}$$ · 2 years, 3 months ago

How can you say that? Please provide a full explaination @Marc Vince Casimiro · 2 years, 3 months ago

Hmm... I didn't notice in the question that they can be $$1-10$$ digits, my answer was for $$10$$-digit password. But, well, for $$10$$-digit password, you have $$10$$ choices for the first digit while on the succeeding digits, you can still repeat the digits so the answer is not $$10!$$ but $10\times10\times10\times10\times10\times10\times10\times10\times10\times10 = 10^{10}$ · 2 years, 3 months ago