A customer forgets a four-digit code for an automated teller machine

Question:

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

Solution:

Given: code consists of digits 3, 5, 6, 9.

To find: the largest possible number of trials necessary to obtain the correct code.

The customer remembers that this 4 digit code consists of digits $3,5,6,9$.

So the largest possible number of trials necessary to obtain the correct code $=4 !=4 \times$ $3 \times 2 \times 1=24$

 

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