How many numbers lying between 10 and 1000 ca | vedclass

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

Question

(B) Between $10$ and $1000$,the numbers can be either $2$-digit numbers or $3$-digit numbers.Case $1$: $2$-digit numbers.Each of the $2$ places can be

Vedclass · Accepted Answer

$810$

Vedclass · Answer

(B) Between $10$ and $1000$,the numbers can be either $2$-digit numbers or $3$-digit numbers.Case $1$: $2$-digit numbers.Each of the $2$ places can be filled by any of the $9$ digits ($1$ through $9$) because repetition is allowed.Number of ways $= 9 	imes 9 = 81$.Case $2$: $3$-digit numbers.Each of the $3$ places can be filled by any of the $9$ digits ($1$ through $9$) because repetition is allowed.Number of ways $= 9 	imes 9 	imes 9 = 729$.Total numbers $= 81 + 729 = 810$.

How many numbers lying between $10$ and $1000$ can be formed from the digits $1, 2, 3, 4, 5, 6, 7, 8, 9$ (repetition is allowed)?

Similar Questions

If ${ }^{22} P_{r+1}:{ }^{20} P_{r+2}=11: 52$,then $r=$

How many $8$-digit numbers can be formed such that all digits are distinct?

For $1 \leq r \leq n$,the value of $\frac{1}{r+1}\left\{{ }^n P_{r+1}-{ }^{(n-1)} P_{r+1}\right\}$ is equal to

There are $9$ chairs in a room on which $6$ persons are to be seated. Out of these,one person is a guest who must occupy one specific chair. In how many ways can they sit?

The letters of the word $ARRANGE$ are used to form different words. All these words are arranged in dictionary order. What is the rank of the word $ARRANGE$ in the dictionary?

Vedclass Test Series

Exam Paper Generator

Online Exam Module