anonymous
  • anonymous
5. A security lock pass-number is to contain 4 numbers using the digits 0 through 9. The 0 is NOT to be the first digit, no digit is repeated, and the last digit must be 9. How many of these pass-numbers can be created?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
First slot: 9 possibilities (1-9, since 0 can't be used) Second slot: 9 possibilities (0-9, other than the number used in the first slot) Third slot: 9 possibilities (same reasoning as second slot, except that it can't be the same as second slot) Fourth slot: 1 possibility (has to be a 9) Total number of possibilities: \(9\cdot9\cdot9\cdot1=\cdots\)
anonymous
  • anonymous
8 options for the first digit (1-8, no zero or 9) 8 options in the second (0-8, but without whatever you used in the first slot) 7 options for the third (0-8, but without whatever you used in the 1st and 2nd slots) 1 option for the last on (9) 8*8*7*1=448

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