SOLUTION: A secret code for a bank vault consists of 4 letters, then 4 digits and then 4 more letters. Question: How many codes are possible if repeats are not allowed and the second le

Algebra ->  Permutations -> SOLUTION: A secret code for a bank vault consists of 4 letters, then 4 digits and then 4 more letters. Question: How many codes are possible if repeats are not allowed and the second le      Log On


   



Question 795369: A secret code for a bank vault consists of 4 letters, then 4 digits and then 4 more letters.
Question: How many codes are possible if repeats are not allowed and the second letter must be 'G' and the first digit must be '0'?

I have tried this (26*1*24*23*1*9*8*7*22*21*20*19) but when I submit it the answer comes back incorrect. I would appreciate any help thanks.

Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A secret code for a bank vault consists of 4 letters, then 4 digits and then 4 more letters.
Question: How many codes are possible if repeats are not allowed and the second letter must be 'G' and the first digit must be '0'?

I have tried this (26*1*24*23*1*9*8*7*22*21*20*19) but when I submit it the answer comes back incorrect. I would appreciate any help thanks.
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If the 2nd letter is G, then the 1st can't be 1/26, only 1 of 25.
(25*1*24*23*1*9*8*7*22*21*20*19)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I think the problem is the +26+ at the
beginning. That implies that "G" is a possible
choice, which it is not, so i think this should be:
+%2825%2A1%2A24%2A23%29%2A%281%2A9%2A8%2A7%29%2A%2822%2A21%2A20%2A19%29+
+13800%2A504%2A175560+
The products max out my calculator,
but this is my guess