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Probability: how many combinations exist for a lock with six

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A combination lock has six settings, each containing numbers from 0 to 9. Determine:

(a) how many different possible combinations exist for the lock. Identify
(b) the probability of selecting (i.e., properly identifying) at random the combination of the lock on your first attempt. Finally, (c) now assuming that none of the six settings are the same number, calculate the number of different ways that six-digit codes can be formed.

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A combination lock has six settings, each containing numbers from 0 to 9. Determine (a) how many different possible combinations exist for the lock.

Solution:

For each you have 10 ...

Solution provided by:
Sandhya Sharma, MSc
Education
  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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