John is choosing a password for his access to the internet. He decided not to use the digit 0 or the letter M. Each letter or number may be used more than once. How many passwords of 2 letters followed by 4 digits are possible?
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It is not simply 6 numbers multiplied...
I know it has to do with factoids, but they never gave us anything this hard in the lesson.
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First let's fill the first two blanks with the two letters. A letter can be used more than once. However, the letter M is not allowed. Excluding the M, how many letters are in the Latin alphabet?
It's an online course Im taking to escape the evil teacher at my school. Keystone Online. Otherwise, I go to Herberger Young Scholars Academy at ASU West.
and i also tagged u in another persons question. it is the same as urs i believe, but read all the comments b4 putting an answer. hope it helps :)
Yes! OK so then since a letter may be repeated, how many ways are there of choosing two letters?
125 letter combinations and 6561 number combos
The choice for the no. of ways in which the first two letters can be chosen from available 25 letters = 25P2 = 600
And, the no. of ways in which the four digits can be chosen from available nine other digits = 9P2=72
Now, The no. of passwords possible are = 600 * 72 = 43200
If the first position can be filled with any of the 25 letters, then there are 25 ways of performing this first action. Now for the second letter, also any of the 25 letters can be used, hence there are 25 ways of performing this second action. Then there are
25 X 25 ways of picking two letters.