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Ingenious Sum Puzzle 2 (Posted on 2023-07-01) Difficulty: 3 of 5
(A)Consider the set of all possible positive quaternary (base 4) integers each having exactly twelve digits consisting of precisely three 1's, three 2's, three 3's and three 0's. The first digit cannot be 0. Determine the sum of all these numbers in the decimal notation.

(B)Consider the set of all possible positive quinary (base 5) positive integers each having exactly fifteen digits consisting of precisely three 1's, three 2's, three 3's, three 4's, and three 0's. The first digit cannot be 0. Determine the sum of all these numbers in the base ten (decimal) notation.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionA and B, analytic backed by programLarry2023-07-01 12:29:52
(A) only (partial spoiler)Charlie2023-07-01 12:21:00
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