Find the number of ways in which 10 different balls can be arranged on a shelf so that 4 particular balls shall not be together.
1314030
4315640
2508730
3507840
Given that,
There are 10 different balls that can be arranged on a shelf so that 4 particular balls shall not be together.
The number of ways in which 10 balls can be arranged is 10!
The number of ways, when 4 particular balls are together, is given by,
So, the number of ways when 4 particular balls are not together is given by,
Thus,
Therefore, the total number of ways for placing the balls is 3507840 ways.
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