Home
Class 11
MATHS
Six distinguishable marbles are to be di...

Six distinguishable marbles are to be distributed into 3 distinguishable boxes. Find the number of distributions so that no box is empty.

Text Solution

Verified by Experts

Total possible ways=`3^6-.^3C_1*2^6-.^3C_2*1`
`=3^6-3*2^6-3`
`=729-192-3`
`=729-195`
`=534`
Promotional Banner

Similar Questions

Explore conceptually related problems

There are five different boxes and seven different balls.All the seven balls are to be distributed in these boxes.The number of ways can they be distributed so that no box remains empty are

Then number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is

The number of ways of distributing 8 identical balls in 3distinct boxes so that none of the boxes is empty is

The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is :

The number of ways of distributing 8 identical balls in 3 distinct boxes, so that none of the boxes is empty, is

The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is

The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is

The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is

The number of ways of distributing 8 indentical balls in 3 distinct boxes so that none of the boxes empty is