All possible four-digit numbers are formed us | vedclass

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

Question

(C) four-digit number is even if its unit digit is $0$ or $2$.Case $1$: The unit digit is $0$.The remaining $3$ positions can be filled by the remaini

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(C) four-digit number is even if its unit digit is $0$ or $2$.Case $1$: The unit digit is $0$.The remaining $3$ positions can be filled by the remaining $3$ digits $(1, 2, 3)$ in $3! = 3 	imes 2 	imes 1 = 6$ ways.Case $2$: The unit digit is $2$.The thousands place cannot be $0$ or $2$,so it can be filled by $1$ or $3$ ($2$ ways).The remaining $2$ positions can be filled by the remaining $2$ digits in $2! = 2 	imes 1 = 2$ ways.Total even numbers $= 6 + (2 	imes 2) = 6 + 4 = 10$.

All possible four-digit numbers are formed using the digits $0, 1, 2, 3$ such that no digit is repeated. The number of even numbers among them is

Similar Questions

The number of different $6$-digit numbers that are divisible by $10$,which can be formed using the digits $1, 2, 7, 0, 9, 5$?

$A$ person goes in for an examination in which there are four papers with a maximum of $m$ marks from each paper. The number of ways in which one can get $2m$ marks is

Find $n$ if ${ }^{n} P_{4}=18 \cdot{ }^{n-1} P_{2}$.

How many numbers of four digits can be formed with the digits $1, 2, 3, 4$ and $5$?

In how many different ways can the letters of the word '$AUCTION$' be arranged in such a way that the vowels always come together?

Vedclass Test Series

Exam Paper Generator

Online Exam Module