172k views
24 votes
Creating a password with two letters followed by two one-digit numbers. (Find the total number of outcomes that are possible)

1 Answer

4 votes

Answer:

67,600 possible outcomes

Explanation:

In total, it's a four digit password.

For the first digit, which is a letter, there are 26 possibilities. The same goes for the second digit, so first multiply 26 x 26 (because that's the number of possibilities for the first two digits alone).

! if the letters have to be different then it would be 26 x 25 because there's one less letter for the second digit.

Next, 2 one digit numbers. There are 10 individual digits: 0,1,2,3,4,5,6,7,8,9, so after 26 x 26 x 10 x 10 for the total number of possibilities. If the numbers have to be different (and the letters too) then it'd be 26 x 25 x 10 x 9

so 26 x 26 x 10 x 10 = 67,600

hope this helps!

User Hilmi
by
5.6k points