Pure maths, physics, chemistry, etc.: brain-training tasks that have nothing to do with trade [Part 2] - page 37
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Here's another interesting problem. A third-grade daughter also gave it to me.
What four weights can be used to weigh any weight from 1 to 40 grams (inclusive). Fractional, of course, does not count. Weights can be placed on both sides of the scale.
That's right! The problem has 62 correct solutions, and this is one of them :)
Give me another five or ten solutions. I don't think so. Not that there aren't more solutions, but that's too many. :)
// but if you allow brackets (priorities), then I believe you.
Quickly :) Probably met the task before.
not that there aren't more solutions, but that's a lot of what you said. :)
// but if brackets (priorities) are allowed, then I believe you.
Why not:
1+2+3+4-5-6*7+8 = 1
1+2+3+4*5+6/7/8 = 1
1+2+3-4+5-6+7/8 = 1
1+2+3-4*5+6-7-8 = 1
1+2-3+4+5+6-7/8 = 1
1+2-3-4*5+6+7+8 = 1
1+2-3*4+5-6*7+8 = 1
1+2-3*4-5+6+7/8 = 1
1+2-3*4*5*6-7+8 = 1
1+2-3*4*5/6-7+8 = 1
1+2-3*4/5*6-7+8 = 1
1+2-3*4/5/6-7+8 = 1
1+2-3/4+5-6*7+8 = 1
1+2-3/4-5+6+7/8 = 1
1+2-3/4*5*6-7+8 = 1
1+2-3/4*5/6-7+8 = 1
1+2-3/4/5*6-7+8 = 1
1+2-3/4/5/6-7+8 = 1
1+2*3+4-5-6+7-8 = 1
1+2*3-4+5+6-7-8 = 1
1+2*3-4-5*6-7+8 = 1
1+2*3-4-5/6-7+8 = 1
1+2/3+4+5+6-7-8 = 1
1+2/3+4-5*6-7+8 = 1
1+2/3+4-5/6-7+8 = 1
1+2/3-4-5-6+7+8 = 1
1+2/3*4+5+6-7/8 = 1
1+2/3/4+5/6/7*8 = 1
1-2+3-4-5+6*7+8 = 1
1-2+3/4*5*6-7/8 = 1
1-2-3+4+5-6*7+8 = 1
1-2-3+4-5+6+7/8 = 1
1-2-3+4*5*6-7+8 = 1
1-2-3+4*5/6-7+8 = 1
1-2-3+4/5*6-7+8 = 1
1-2-3+4/5/6-7+8 = 1
1-2-3/4-5+6-7+8 = 1
1-2-3/4-5/6*7+8 = 1
1-2-3/4*5+6+7/8 = 1
1-2*3+4+5-6-7+8 = 1
1-2*3+4+5/6+7/8 = 1
1-2*3+4-5+6+7-8 = 1
1-2*3+4*5-6*7+8 = 1
1-2*3*4+5+6*7+8 = 1
1*2+3-4+5-6-7+8 = 1
1*2+3-4+5/6+7/8 = 1
1*2+3-4-5+6+7-8 = 1
1*2+3-4*5-6*7+8 = 1
1*2-3+4+5-6+7-8 = 1
1*2-3-4+5*6-7+8 = 1
1*2-3-4+5/6-7+8 = 1
1*2-3*4*5+6+7+8 = 1
1*2*3+4-5-6*7+8 = 1
1*2*3+4*5+6/7/8 = 1
1*2*3-4+5-6+7/8 = 1
1*2*3-4*5+6-7-8 = 1
1*2/3*4-5*6+7+8 = 1
1/2+3+4-5*6-7/8 = 1
1/2+3*4-5+6-7/8 = 1
1/2-3*4+5+6+7/8 = 1
1/2*3+4+5*6/7-8 = 1
1/2*3-4+5*6-7/8 = 1
count = 62
Why not give: ...........
count = 62
Yep, it checks out. Checked a few things on a random basis - it all fits. :)
You are strict but fair!
Yep, it checks out. Checked a few things on a random basis - it all fits. :)
I did it with a script, so it should work :) Although I did a little spot-checking myself, too.