Each of A, B and C is a positive integer with A < B < C < 300
Determine the total number of triplets (A, B, C) such that;
(I) A+B+C is divisible by 3, and:
(II) sod(A)*sod(B)*sod(C) is divisible by 5.
Bonus Questions:
(A) Disregarding condition (I), determine the total number of triplets.
(B) Disregarding condition (II), determine the total number of triplets.
Note: sod(x) refers to the sum of digits of x.