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Ingenious Sum Puzzle 2 (Posted on 2023-07-01)

(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.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(A) 2889036460800 (B) 2456066894465184000
For an explanation, refer to the solution submitted by Larry in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
A and B, analytic backed by program	Larry	2023-07-01 12:29:52
(A) only (partial spoiler)	Charlie	2023-07-01 12:21:00

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