Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
5 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
5 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
sign-in
Download our FREE mobile app with 1000+ tests for CBSE, JEE MAIN, NEET
X
Search
Topics
Want to ask us a question?
Click here
Browse Questions
Student Questions
Ad
Home
>>
JEEMAIN and AIPMT
>>
Mathematics
>>
Class11
>>
Permutations and Combinations
0
votes
There are Five balls of different colour and 3 boxes of different size. The balls are to be placed in the boxes so that no box is empty. In how many ways this can be done?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
Share
asked
Aug 31, 2013
by
rvidyagovindarajan_1
edited
Aug 5, 2014
by
sharmaaparna1
Please
log in
or
register
to add a comment.
Can you answer this question?
Do not ask me again to answer questions
Please
log in
or
register
to answer this question.
1 Answer
0
votes
Balls in the boxes can be (2,2,1),(1,2,2),(2,1,2) ways
$=3.(^5C_2.^3C_2.^1C_1)=90\:ways$
or
$(1,1,3),(1,3,1),(3,1,1) $
$=3.(^5C_1.^4C_1.^3C_3)=60\:ways$
$\therefore$ The required no. of arrangements = $90+60=150$
answered
Aug 31, 2013
by
rvidyagovindarajan_1
Please
log in
or
register
to add a comment.
Related questions
0
votes
1
answer
There are $20$ boxes numbered $1,2,......20$. Five boxes are selected at random and are arranged in ascending order. In how many ways this can be done so that no. $10$ is present in each selection and it comes in $3rd$ place in the arrangement.?
asked
Sep 5, 2013
by
rvidyagovindarajan_1
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
0
votes
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 ?
asked
Aug 31, 2013
by
rvidyagovindarajan_1
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
medium
0
votes
1
answer
There are 2 white 3 black and 4 red balls. The no. of ways in which these balls can be arranged so that no two red balls can be together is? (Two balls of same colour are identical.)
asked
Aug 31, 2013
by
rvidyagovindarajan_1
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
0
votes
1
answer
There are two urns. Urn A has 3 distinct red balls and Urn B has 9 distinct blue balls. From each urn two balls are drawn at random and then transfered to other. The no. of ways in which this can be done is?
asked
Aug 9, 2013
by
rvidyagovindarajan_1
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
0
votes
1
answer
Four couples (husband and wife) decide to form a committee of 4 members. How many ways this can be done so that no couple finds a place.
asked
Aug 11, 2013
by
rvidyagovindarajan_1
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
0
votes
1
answer
The total no. of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets atleast one ball is ?
asked
Aug 12, 2013
by
rvidyagovindarajan_1
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
0
votes
1
answer
There are 10 men. 5 of them are to be selected for a team. In how many ways this can be done if a particular person is to be selected in the team and if A is selected then B also is to be selected?
asked
Sep 6, 2013
by
rvidyagovindarajan_1
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
Ask Question
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
5 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...