00:01
In this problem, it is said that you pick four digits from the digits 0 to 9 at random without replacement and you write them in the order picked.
00:10
We need to find the probability that you have written the first four digits of your phone number, assuming that there are no repeats of digits in your phone number.
00:18
So the required probability, that is the number of favorable outcomes divided by the total number of outcomes.
00:24
First of all, consider the total number of outcomes which you write in the denominator here.
00:28
So the total number of outcomes, that will be the total number of ways we can pick those four digits and write them in the order picked.
00:36
So we have a total of four digits.
00:40
Now, we select the digits from zero to nine.
00:43
So there are 10 digits to choose from.
00:46
And so there are 10 options for the first digit selected.
00:49
Now, since we pick the digits at random without replacement, so that means that this second digit will be any one of those 10 digits except for the one we selected over here.
00:59
So there are 10 minus 1, a total of 9 options for the second digit selected...