Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Answer
Comment
Share
Q)

The number of 4 digit numbers divisible by 3 that can be formed by 4 different even digits (0,2,4,5,6,8) is ?

$\begin{array}{1 1} 18 \\ 24 \\ 36 \\ 48 \end{array}$

1 Answer

Comment
A)
Since the number is divisible by 3, the sum of the digits should be multiple of 3.
$\therefore$ The digits can be $0,2,4,6\: or \: 0,4,6,8$
Hence the required no. of numbers = $(4!-3!)+(4!-3!)=36$
(0 cannot come in $1^{st}$ position.)
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
Clay6 tutors use Telegram* chat app to help students with their questions and doubts.
Do you have the Telegram chat app installed?
Already installed Install now
*Telegram is a chat app like WhatsApp / Facebook Messenger / Skype.
...