anonymous
  • anonymous
Consider all positive integers with 7 digits (first digit not being zero.) How many of them are even and have all seven digits distinct?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
BLAH BLAH
anonymous
  • anonymous
\[9\times 9\times 8\times 7\times 6\times 5\times 4\]
anonymous
  • anonymous
left most digit can't be a zero, and then the next one can't be the one chosen previously, etc

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anonymous
  • anonymous
9*9*8*7*6*5*4 = 544,320 which is incorrect. The hint I get is to consider all cases in which the digit is not zero. I am confused.

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