Math

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

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  1. 26 possible letters
    9 possible digits
    10 possible digits x 6

    26*9*10^6 = 234,000,000

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  2. An exam consists of six true-or-false questions. Assuming that every question is answered, in how many different ways can a student complete the exam? In how many ways may the exam be completed if a penalty is imposed for each incorrect answer, so that a student may leave some questions unanswered?

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  3. A warranty identification number for a certain product consists of a letter of 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?

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