How many 3-digit even numbers can be formed f | vedclass

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

Question

(A) To form a $3$-digit even number,the units place must be filled by an even digit from the given set $\{1, 2, 3, 4, 5, 6\}$.The even digits availabl

Vedclass · Accepted Answer

$108$

Vedclass · Answer

(A) To form a $3$-digit even number,the units place must be filled by an even digit from the given set $\{1, 2, 3, 4, 5, 6\}$.The even digits available are $2, 4, 6$. Thus,the units place can be filled in $3$ ways.Since repetition is allowed,the tens place can be filled by any of the $6$ digits in $6$ ways.Similarly,the hundreds place can be filled by any of the $6$ digits in $6$ ways.By the multiplication principle,the total number of $3$-digit even numbers is $6 	imes 6 	imes 3 = 108$.

How many $3$-digit even numbers can be formed from the digits $1, 2, 3, 4, 5, 6$ if the digits can be repeated?

Similar Questions

There are $6$ letters and $3$ post boxes. In how many ways can these letters be posted in the post boxes?

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

How many distinct words can be formed using the letters of the word $ARRANGE$?

How many $5$-digit numbers can be formed using the digits $0, 1, 2, 3, 5, 7$ without repetition? If all such numbers are arranged in ascending order,what is the rank of the number $70513$?

In how many ways can the letters of the word $PERMUTATIONS$ be arranged if there are always $4$ letters between $P$ and $S$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module