Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
mobile
exams
ask
sample papers
tutors
pricing
login
X
ASK
Home
>>
JEEMAIN and NEET
>>
Mathematics
>>
Class11
>>
Permutations and Combinations
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 ?
$\begin{array}{1 1} 18 \\ 24 \\ 36 \\ 48 \end{array}$
jeemain
math
class11
ch7
permutations-and-combinations
permutations
easy
Share
asked
Sep 3, 2013
by
rvidyagovindarajan_1
edited
Apr 5, 2016
by
meena.p
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1 Answer
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.)
answered
Sep 3, 2013
by
rvidyagovindarajan_1
Please
log in
or
register
to add a comment.
Related questions
How many three digit numbers that are divisible by 3 can be formed using the digits 0,1,2,3,4,5 without repeating the digits?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
difficult
asked
Aug 14, 2013
by
rvidyagovindarajan_1
1
answer
How many 9 digit numbers can be formed from the numbers 223355888 so that the odd digits occupy even positions.
jeemain
math
class11
ch7
permutations-and-combinations
permutations
easy
asked
Aug 14, 2013
by
rvidyagovindarajan_1
1
answer
The no. of 7 digit numbers that can be formed using the digits $1,2,3,2,3,3,4$ is?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
medium
asked
Aug 13, 2013
by
rvidyagovindarajan_1
1
answer
The number of numbers that can be formed by using digits 1,1,2,2,3,3,4, so that the odd digits always occupy odd places is?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
easy
asked
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
The number of seven digit integers whose sum of the digits is ten, formed by using the digits 1, 2 and 3 only is
jeemain
math
class11
ch7
permutations-and-combinations
permutations
medium
asked
Aug 9, 2013
by
rvidyagovindarajan_1
1
answer
The sum of the digits in unit place of all the numbers formed using 3,4,5,6 taking all at a time is?
jeemain
math
class11
ch7
permutations-and-combinations
permutations
medium
asked
Aug 15, 2013
by
rvidyagovindarajan_1
1
answer
How many 6 digit numbers can be formed using the digits 0,1,3,5,7,9 that are divisible by 5? (digits should not be repeated)
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Aug 31, 2013
by
rvidyagovindarajan_1
1
answer
Ask Question
Tag:
Math
Phy
Chem
Bio
Other
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
...