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A bank has 6 digit account number with no repetition of digits within a account number. The first and last digit of the account numbers is fixed to be 4 and 7. How many such account numbers are possible?

  • A.10080
  • B.5040
  • C.890
  • D.1680

Answer: D

The first and last digits are fixed at 4 and 7, so only the four middle positions are free - and they must avoid 4 and 7, leaving eight digits.

\[ 8 \times 7 \times 6 \times 5 = 1680 \]

Repetition is forbidden, so each position has one fewer choice than the last.

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