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Counting triplets II (Posted on 2011-07-30) Difficulty: 3 of 5
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.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Solutioncomputer solutionCharlie2011-07-30 17:42:18
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