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

In how many ways can the letters of the word $MAXIMA$ be arranged such that all vowels are together and all consonants are together?

In how many ways can $5$ speakers $S_1, S_2, S_3, S_4$,and $S_5$ give speeches one after the other if $S_3$ must speak after both $S_1$ and $S_2$?

There are $10$ students in a classroom,including $3$ girls $A, B,$ and $C$. In how many ways can they be arranged in a row such that no two of the three girls are together?

How many $4$-digit numbers can be formed using the digits $1, 2, 3, 4, 5, 6, 7$ such that each digit is used only once?

The total number of permutations of $n (> 1)$ different things taken not more than $r$ at a time,when each thing may be repeated any number of times is

Vedclass Test Series

Exam Paper Generator

Online Exam Module