A number lock consists of three rings. If the | vedclass

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(B) The $1^{st}$ ring has $10$ digits $(0, 1, 2, 3, 4, 5, 6, 7, 8, 9)$.The $2^{nd}$ ring has prime numbers greater than $2$ and less than $30$,which a

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$449$

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(B) The $1^{st}$ ring has $10$ digits $(0, 1, 2, 3, 4, 5, 6, 7, 8, 9)$.The $2^{nd}$ ring has prime numbers greater than $2$ and less than $30$,which are: $3, 5, 7, 11, 13, 17, 19, 23, 29$. There are $9$ such prime numbers.The $3^{rd}$ ring has all vowels $(a, e, i, o, u)$. There are $5$ vowels.Total number of ways to set the lock = $10 	imes 9 	imes 5 = 450$.Since only $1$ combination is correct,the number of unsuccessful attempts = $450 - 1 = 449$.

$A$ number lock consists of three rings. If the $1^{st}$ ring is marked with digits $0$ to $9$,the $2^{nd}$ ring is marked with prime numbers greater than $2$ but less than $30$,and the $3^{rd}$ ring is marked with all vowels,find the total number of unsuccessful attempts.

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