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#1
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Abstract thinkers and mathematicians brain teasers
"How many different ways can five people be seated in seven chairs?" "Using American paper currency, how many different ways can you make $63 using 6 bills? List the combinations."
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'08 335i Coupe - Barbera Red / Saddle Leather / Light Poplar Wood / 6spd Manual Options: Sport, Premium, Cold Weather, Comfort Access, Active Steering (awesome!), Power Rear Shade, IPod Adapter, Navigation w/IDrive Mods: M6 Wheels, Split Armrest, M-Steering Wheel, Euro Light Switch w/Rear Fog Lights, Short Shift Knob w/Matching E-Brake Handle, Clear Reflectors, CDV, Clear Bra Retired:'04 X5 4.4i |
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#2
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I suck at this stuff but why not post a "guess"
1) 45 2) 1 way, 50 plus 5 plus 5 plus 1 plus 1 plus 1 That is my guess after 4 hours sleep and going to bed at around 3 am last night.
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An unwavering defender of those I see worth protecting. "promote the general welfare, not provide the general welfare" We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defence, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America. Last edited by Wagner; 01-22-2006 at 12:28 PM. |
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#3
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Quote:
So how did you come up with 40 for the first one? And I can think of another couple of combos for the second one: 20+20+20+1+1+1 10+10+20+20+1+2 any more?
__________________
'08 335i Coupe - Barbera Red / Saddle Leather / Light Poplar Wood / 6spd Manual Options: Sport, Premium, Cold Weather, Comfort Access, Active Steering (awesome!), Power Rear Shade, IPod Adapter, Navigation w/IDrive Mods: M6 Wheels, Split Armrest, M-Steering Wheel, Euro Light Switch w/Rear Fog Lights, Short Shift Knob w/Matching E-Brake Handle, Clear Reflectors, CDV, Clear Bra Retired:'04 X5 4.4i |
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#4
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wasn't aware we were using the old $2.00 bill as currency. I was using the standard: 1,5,10,20,50...although I'm not sure how I missed the 3 twenty/3 one combo
doh.For the second I changed my answer to 45, I forgot it was 7 seats and 5 people. (I was thinking of the 6 in the 2nd question). So for that I figure 5 x 7 is 35 however there are two open seats at all times so add 2 to the seat combo and get 9 seats for a 5 times 9 = 45 solution...again...no sleep equals I may be WAY off.
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An unwavering defender of those I see worth protecting. "promote the general welfare, not provide the general welfare" We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defence, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America. |
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#5
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does order matter for the first one (ie, there is a seat 1-5?) or are we looking at the chairs in a circular format? (where there is no real seat 1-5, rathar just what they are next to)
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#6
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Quote:
__________________
'08 335i Coupe - Barbera Red / Saddle Leather / Light Poplar Wood / 6spd Manual Options: Sport, Premium, Cold Weather, Comfort Access, Active Steering (awesome!), Power Rear Shade, IPod Adapter, Navigation w/IDrive Mods: M6 Wheels, Split Armrest, M-Steering Wheel, Euro Light Switch w/Rear Fog Lights, Short Shift Knob w/Matching E-Brake Handle, Clear Reflectors, CDV, Clear Bra Retired:'04 X5 4.4i |
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#7
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For the first there are two ways to solve it... Vitriol hit it on the mark.
If I believe order matters, then it's nPr and if it doesn't matter, then nCr I'll double check, but that should be it. Then it'll be either like 7! + 6! or something like that.
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admin @ mbworld.org |
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#8
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wouldn't the first one be 7x6x5x4x3=2520?
the way i figure it, the first guy has 7 choices, which gives the second guy 6 choice, the third guy 5 choices, etc.I could only think of 3 ways to make $63: 50+5+5+1+1+1 20+20+20+1+1+1 20+20+10+10+2+1
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Last edited by x5GuyInLA; 01-22-2006 at 06:38 PM. |
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