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BBy Bot
Jun 09'24

Exercise

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The door on the computer center has a lock which has five

buttons numbered from 1 to 5. The combination of numbers that opens the lock is a sequence of five numbers and is reset every week.

  • How many combinations are possible if every button must be used once?
  • Assume that the lock can also have combinations that require you to push two buttons simultaneously and then the other three one at a time. How many more combinations does this permit?