The correct answer is option a)30
solution:::
xyz = 24
xyz = 2^{3} × 3^{1}
The number of ways of distributing 'n' identical balls into 'r' different boxes is ^{(n + r }^{− }^{1)}C_{(r }_{− }_{1)}
Here we have to group 4 numbers into three groups
Number of integral positive solutions
= ^{(3 + 3 }^{− }^{1)}C_{(3 }_{− }_{1)} × ^{(1+ 3 }^{− }^{1)}C_{(3 }_{− }_{1)}
= ^{5}C_{2} × ^{3}C_{2} = 30