A warranty identification number for a certain product consists of a letter of the alphabet followed by four-digit number. How many possible identification numbers are there if the first digit of the four-digit number must be nonzero?

Question

anonymous · Answer

letter ..... non-zero digit.......digit......digit.....digit
  26             9                       10         10      10

Multiply everything

anonymous · Answer

When you have a series of choices and each choice is independent of the other choices...multiply the number of selections for each choice
Here you're making 5 choices , right?
A letter: 26 selections
A nonzero: digit 9 choices   1  2  3  4  5  6  7  8  9
The 2nd digit: 10 choices  0 1  2  3  4  5  6  7  8  9
The 3rd digit: 10 choices  0 1  2  3  4  5  6  7  8  9
The 4th digit: 10 choices  0 1  2  3  4  5  6  7  8  9   
26 x 9 x 10 x 10 x 10 = the total number of id numbers

anonymous · Answer

You are awesome and that makes so much more sense to me! Thanks for your help!

anonymous · Answer

No problem!