Rabbits and More Rabbits
A man bought a pair of rabbits. How many pairs of rabbits can be produced from the original pair, in a year, if it is assumed that every month each pair begets a new pair that can reproduce after 2 months?
Labels: mathschallenge
posted by Zaux at
3:08 PM
10 Comments:
64 pairs of rabbits
i think
Hi jayson ... not 64 pairs
I am guessing at 24 rabbits, or 12 pairs, assuming the original pair start producing from month 1. If they have to wait the obligatory 2 months, then 10 pairs?
Hi Karl ... neither answer is correct.
Happy New Year.
232 new pairs (233 pairs altogether).
Hi Zaux. Thanks for posting problems. I wish I had more time to do them.
... I assumed that the first pair were 0 months old.
Hi Chris ... Happy New Year to you... and to all our fellow puzzlers and problem solvers. Yes .. 233 is correct ... did you realize it is a Fibonacci sequence?
You guys are so good at problem solving, I am having quite a time finding problems of an appropriate level of difficulty. Most of you guys are much better mathematicians than I, but I really enjoy posting the problems and seeing the approach you guys use for the solution.
the Fibinacci sequence:
1 1 2 3 5 8 13 21 34 55 89 144 233
I got 233, but it looks like I took to long.
Hi Zaux (and everyone). I did recognise the Fibonacci sequence. I've just done a check, and the problem presented here is precisely the one he chose to include in his book, the "Liber Abaci", in which he introduced Europe to the Arabic numerals and the positional notation - I assume that he included the problem as a demo of that.
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