# Math

posted by .

Killer robots are trying to take over the world. They know the password to the doomsday weapon is 5 digits long and contains either 0 or 1, and either 2 or 3, and either 4 or 5, and either 6 or 7, and either 8 or 9. If the robots can enter 5 passwords per second, how long (in seconds) will it take them to go through all the possible passwords?

• Math -

So let's first of all choose the number of passwords
which would be C(2,1) x C(2,1) x C(2,1) x C(2,1) x C(2,1)
= 2^5 = 32

13578 would be in that choice, but not 31578

So we now have to "arrange" each of these 32 numbers
which would give us 32 x 5! = 3840

at a rate of 5 passwords per second it would take
3840/5 or 768 seconds to crack it

## Similar Questions

1. ### Chemistry

The nuclide 12 N 7 is unstable. What type of radioactive decay would be expected?
2. ### Math

Solve by either graphing and then get an exact solution by using either substitution or elimination: x-3y=6 2x+y=2
3. ### math

find the slope of the line, if it exists: coordinates are (-1,-5), (1,-5) I am doing something wrong because I either get 5 or if I work it another way I get 0 m= either 5 or 0 Which one is it if any?
4. ### Social Studies

The interaction of private companies trying to make the greatest profit and customers trying to get the best deal is called A) competition B) blind faith C) the invisible hand D) the zero sum game Blind faith means belief without true …
5. ### maths

terrorists are trying to take over the world. They know the password to the weapon is 5 digits long and contains either 0 or 1, and either 2 or 3, and either 4 or 5, and either 6 or 7, and either 8 or 9. If the robots can enter 5 passwords …
6. ### algebra

2. The sum of both digits, of either of two two-digit numbers, in whatever order the digits are written, is 9. The square of either of the digits of either number, minus the product of both digits, plus the square of the other digit …
7. ### English

HELP! John or Doris (write, Writes) to us regularly. Either Carol or Ted (was, Were) asked to lead the meeting. Either Marie or you (was, were) late for class. Either you or Marie (was, were) late for class. Everybody in the class …
8. ### math

A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 14 characters long, and that each character is either a lowercase letter, (a, b, c, etc), an uppercase letter (A, B, C, etc) or a numerical …
9. ### math

A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 14 characters long, and that each character is either a lowercase letter, (a, b, c, etc), an uppercase letter (A, B, C, etc) or a numerical …
10. ### Math

Find values of x for which the piecewise function g(x): 1) (x+1)^2, x=<0 2) 2x+1, 0<x<33) (4-x)^2, x>=3is differentiable. I got xer, x cannot equal 3 and 0, but the answer key only has 3. WHy isn't 0 one either since the …

More Similar Questions