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The number lock of a suitcase has 4 wheels, each labelled with ten digits, i.e. from 0 to 9. The lock opens with a sequence of four digits with no repeats. What is the probability of a person getting the sequence to open the suitcase?
  • a)
    1/5040
  • b)
    2/5040
  • c)
    4/5040
  • d)
    4!/5040
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The number lock of a suitcase has 4 wheels, each labelled with ten dig...
There are 10C4 x 4! = 5040 sequences of 4 distinct digits, out of which there is only one sequence in which the lock opens.
Required probability = 1/5040
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The number lock of a suitcase has 4 wheels, each labelled with ten digits, i.e. from 0 to 9. The lock opens with a sequence of four digits with no repeats. What is the probability of a person getting the sequence to open the suitcase?a)1/5040b)2/5040c)4/5040d)4!/5040Correct answer is option 'A'. Can you explain this answer?
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