An identification code is to consist of three letters followed by four digits. How many different codes are possible if repetition is permitted?

Question

anonymous · Answer

$$26\times 26\times 26\times 10000$$

anonymous · Answer

i get 175760000

anonymous · Answer

ok im confused now

amistre64 · Answer

7 spaces to fill:

- - - - - - -

26 letters can fill the 1st space;   26 outcomes
26 letters can fill the 2nd space;  26 * 26 outcomes
26 letters can fill the 3rd space;   26*26*26 outcomes

10 numbers can fill teh 4th space; 26*26*26*10  outcomes
10 numbers can fill teh 4th space; 26*26*26*10*10 outcomes
10 numbers can fill teh 4th space; 26*26*26*10*10*10 outcomes
10 numbers can fill teh 4th space; 26*26*26*10*10*10*10 outcomes

total possible outcomes?  26^3 * 10^4

amistre64 · Answer

yeah, i copy pasted my typo lol