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Permutation under Restriction

A customer fo...

Question

A customer forgets a four-digit code for an Automatic Teller Machine (ATM) in a bank However, he remembers that this code consists of digits 3,5,6 and 9. Find the largest possible number of trials necesssary to obtain the correct code.

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Solution

Total number of digits = 4.
$∴$ the largest possible number of trials to obtain the correct code = $4 \times 3 \times 2 \times 1$
[ $∵$ digits are not repeated]
= 24

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