AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Five balls are placed in three boxes. Each box can hold all the five balls. In how many ways can we place the balls in the boxes so that no box remains empty if
List - 1 List-II
i) balls are identical and the a) 25
boxes are different
ii) balls are different but b) 6
boxes are identical
iii) the balls as well as
boxes are identical c) 150
d) 2
The correct Match is

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

b, c, d

c, b, d

d, a, b

b, a, d

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

i) 5 identical balls to be distributed into 3 different boxes so that no box is empty.

(3,1,1),(1,1,3),(1,3,1)(1,2,2),(2,1,2),(2,2,1)

number of ways=6

(ii)5 different balls to be distributed to 3 identical boxes

number of ways of dividing 5 balls into (3,1,1) and (2,2,1)= $\frac{5!}{3! {(1!)}^{2} 2!} + \frac{5!}{(2! 2! 1!) 2!} = 10 + 15 = 25$

(iii)5 identical balls to be distributed into 3 identical boxes

(3,1,1),(2,2,1)

Number of ways=2

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!