All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 No Equal Weighings (Posted on 2016-04-18)
I have a batch of 16 coins, each coin weights either 9g, 10g, or 11g. I split the pile into halves and compare each half on a balance scale and the result is unequal.

Then I take each pile of 8 and perform the same process: split each pile in half and compare the halves from that pile. Both times I get unequal results.

I then repeat the process with the four piles of 4. Again all four weighings are unequal.

I keep going to make eight more weighings comparing the individual coins in each pair formed previously. Again all weighings are unequal.

What are the possible compositions of the original pile of 16 coins?

 See The Solution Submitted by Brian Smith Rating: 3.0000 (1 votes)

 Subject Author Date Analytic confirmation Paul 2016-04-20 11:00:42 Good business problem solution 2016-04-19 06:33:21 re: computer solution -- sampling of every 1000th valid sequence Charlie 2016-04-18 15:10:27 computer solution Charlie 2016-04-18 14:55:28

 Search: Search body:
Forums (0)
Random Problem
Site Statistics
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox: