(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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(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 = $10 \times 9 \times 5 = 450$.Since only $1$ combination is correct,the number of unsuccessful attempts = $450 - 1 = 449$.

Competitive Quantitative Aptitude Permutation and Combination Permutation and Combination

Medium

$A$ 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.

A
$405$
B
$449$
C
$499$
D
$501$

Explore More

Browse All

Question Bank

All Subjects

Competitive Questions

Competitive

Quantitative Aptitude Questions

Chapter

Permutation and Combination

Subtopic

Permutation and Combination

$6$ boys and $5$ girls sit in a line such that $(I)$ no two girls sit together $(II)$ all the girls sit together. If $p$ is the number of arrangements in case $(I)$ and $q$ is the number of arrangements in case $(II)$,then $p/q =$

View Solution

In how many ways can $5$ red and $4$ white balls be drawn from a bag containing $10$ red and $8$ white balls?

Medium

View Solution

Number of shortest paths from $HOSTEL$ to $ALLEN$ is equal to (as shown in the given figure):

Difficult

View Solution

$A$ box contains $2$ white balls,$3$ black balls and $4$ red balls. In how many ways can $3$ balls be drawn from the box,if at least one black ball is to be included in the draw?

Medium

View Solution

If $12 \cdot {}^{n}C_{2} = {}^{2n}C_{3}$,find $n$.

Difficult

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

$A$ 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.

Similar Questions

$6$ boys and $5$ girls sit in a line such that $(I)$ no two girls sit together $(II)$ all the girls sit together. If $p$ is the number of arrangements in case $(I)$ and $q$ is the number of arrangements in case $(II)$,then $p/q =$

In how many ways can $5$ red and $4$ white balls be drawn from a bag containing $10$ red and $8$ white balls?

Number of shortest paths from $HOSTEL$ to $ALLEN$ is equal to (as shown in the given figure):

$A$ box contains $2$ white balls,$3$ black balls and $4$ red balls. In how many ways can $3$ balls be drawn from the box,if at least one black ball is to be included in the draw?

If $12 \cdot {}^{n}C_{2} = {}^{2n}C_{3}$,find $n$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module