00:01
So in this question, mark can remember only the first five digits of his friend's phone number.
00:07
He also knows that the number has seven digits and that the last digit is not zero.
00:13
If mark were to dial all of the possible numbers and if it takes him 16 seconds to try each one, how long would it take him to try every possibility? well, let's see here.
00:29
So there are two digits that mark doesn't know.
00:34
For the first digit that mark does not know, there are 10 possibilities for what that digit could be.
00:44
For the second number that mark does not know, there are nine possibilities.
00:51
Because mark remembers that the last digit is not a zero.
00:56
So there are 10 times nine.
00:59
There are 90 possibilities for the last two numbers.
01:08
There are 90 possibilities for the last two digits...