xyz=24=23×3 Let x=2x1×3y1, y=2x2×3y2 and z=2x3×3y3 x1+x2+x3=3 and y1+y2+y3=1 Number of non-negative integral solution =‌3+3−1C3−1=‌5C2=10 Number of non-negative integral solution =‌1+3−1C3−1=‌3C2=3 ∴ The total number of positive integral 10×3=30