Then number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is
21
5
As we learnt in
Theorem of Number of Solutions -
Number of non-negative integral solutions of the equation x1 + x2 + x3 +......... + xr=n is .
- wherein
Where
Let the number of balls in 3 boxes be x, y, z.
x + y + z = 8
(x - 1) + (y - 1) + (z - 1) = 8 - 3
x' + y' + z' = 5
Positive integral solutions are
Correct option is 2.
Option 1)
This is an incorrect option.
Option 2)
21
This is the correct option.
Option 3)
5
This is an incorrect option.
Option 4)
This is an incorrect option.
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