An identity thief watches someone enter a four-digit PIN and manages to see that the first digit is 3. They also know that the second digit is either 4 or 7. If the thief tries guessing the PIN, how many possiblities would there be?

The first digit is known to be 3, so it has 1 possibility. The second digit has 2 possibilities: 4 or 7. Each of the last two digits can be any of the 10 digits from 0 to 9, giving 1 × 2 × 10 × 10 = 200 possibilities. The correct choice is 200.

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