Please help!!-2

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

#Combinatorics

Easy Math Editor

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

$10^{10}$

Marc Vince Casimiro - 6 years, 6 months ago

How can you say that? Please provide a full explaination @Marc Vince Casimiro

Mehul Arora - 6 years, 6 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 $10\times10\times10\times10\times10\times10\times10\times10\times10\times10 = 10^{10}$

Marc Vince Casimiro - 6 years, 6 months ago

@Marc Vince Casimiro – It would have been more helpful if you answered the REAL question. But still thanks for the little piece of information you gave me!!

Mehul Arora - 6 years, 6 months ago

10^10 + 10^9 + 10^8......

Mohamed Ashraf Mostafa - 6 years, 6 months ago

Yeah! Thanks!

Mehul Arora - 6 years, 6 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$