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An Ingenious Sum Puzzle (Posted on 2006-10-09) Difficulty: 2 of 5
(A)Consider the set of all possible positive binary whole numbers each having exactly twelve digits consisting of precisely six 1's and six 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 binary whole numbers each having exactly fourteen digits consisting of precisely seven 1's and seven 0's. The first digit cannot be 0. Determine the sum of all these numbers in the decimal notation.

  Submitted by K Sengupta    
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Solution: (Hide)
Part (A):

The required sum of all these numbers in the decimal notation is 1,376,046.

Part (B):

The required sum of all these numbers in the decimal notation is 10,271,976.

EXPLANATION:

Charlie's methodology culminating in respective solutions to both the parts is provided in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionre: solution (spoiler)Larry2019-11-10 10:07:56
Solutionsolution (spoiler)Charlie2006-10-09 10:44:32
Mootbrianjn2006-10-09 09:09:33
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