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
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
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
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
mobile
exams
ask
sample papers
tutors
pricing
login
X
ASK
Home
>>
JEEMAIN and NEET
>>
Mathematics
>>
Class11
>>
Permutations and Combinations
The smallest positive natural number $n$ such that $n!$ is divisible by $990$ is ?
$\begin{array}{1 1} 9 \\ 11 \\ 33 \\ 99 \end{array}$
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
Share
asked
Aug 8, 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
$990=9\times 10\times 11$
$\therefore $ the least natural number so that $n!$ is divisible by $990$ is 11
answered
Aug 8, 2013
by
rvidyagovindarajan_1
Please
log in
or
register
to add a comment.
Related questions
The largest natural numer $n$ for which $(33)!$ is divisible by $2^n$ is ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
difficult
asked
Aug 20, 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
$(100)!+1$ is divisible by?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Sep 5, 2013
by
rvidyagovindarajan_1
1
answer
If $n$ is odd, then in how many ways $3$ numbers that are in A.P. can be selected from the numbers $1,2,3,...............n$?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
difficult
asked
Sep 3, 2013
by
rvidyagovindarajan_1
1
answer
The number of positive integral solutions of the equation $xyz=30$ is ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Aug 11, 2013
by
rvidyagovindarajan_1
1
answer
For $n\geq 4$, $1!+2!+3!+4!+.....n!$ is always
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
There are 4 balls of different colour and 4 boxes of colours, same as that of balls. The no. of ways in which the balls, one each in a box,could be placed such that a ball does not go to a box of its own colour is ?
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
medium
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
...