A customer forgets a 4-digit code for an Auto | vedclass

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(B) The code is a $4$-digit number formed by the digits $3, 5, 6,$ and $9$ without repetition.To find the total number of possible codes,we need to ca

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$24$

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(B) The code is a $4$-digit number formed by the digits $3, 5, 6,$ and $9$ without repetition.To find the total number of possible codes,we need to calculate the number of permutations of these $4$ distinct digits taken $4$ at a time.The number of permutations of $n$ distinct objects is given by $n!$.Here,$n = 4$,so the number of possible codes is $4! = 4 	imes 3 	imes 2 	imes 1 = 24$.Therefore,the largest possible number of trials necessary to obtain the correct code is $24$.

$A$ customer forgets a $4$-digit code for an Automatic Teller Machine ($A$.$T$.$M$.) in a bank. However,he remembers that this code consists of digits $3, 5, 6$ and $9$. Find the largest possible number of trials necessary to obtain the correct code.

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