math
posted by joey on .
a book club assigns to each member a membership number that consists of 2 letters followed by 4 numbers. how many different membership numbers are possible. tne membership numbers look like XXxxxx where X are letters and x are letters.

26 letters in the alphabet
10 numbers (09)
An easy way to think about it is like this:
If you have one number there are ten possible numbers (09). If you have two numbers you know that there are 10 possible numbers for each position (0099), which is 10*10 .
Letters have 26 values (az) or 52 values (az and AZ). Using what we learned from numbers, if we multiply the number of letters in the alphabet by the number of possible letters we will get the number of results (26*26).
26*26 + 10*10*10*10 = 10,676
This can also be written as:
26^2 + 10^4 = 10,676