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Counting methods # 23

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Counting methods # 23 [#permalink] New post 11 Aug 2003, 07:52
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In how many different way a gardener could make planting of ten trees in three days if he should make at least one tree planting a day?
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Answer [#permalink] New post 11 Aug 2003, 08:08
1+2+3+4+5+6+7+8 = 36 (assuming the order that he plants the trees within a given day does not matter)
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answer [#permalink] New post 11 Aug 2003, 08:16
36 is a correct answer, but your approach is a bit vague. Could you elaborate please.
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Re: answer [#permalink] New post 11 Aug 2003, 08:54
Konstantin Lynov wrote:
36 is a correct answer, but your approach is a bit vague. Could you elaborate please.


If he plants 8 the first day, then he is stuck with 1 the second day, and one the third day...

If he plants 7 the first day, then he could do one the second and two the third or two the second and one the third.

I modelled this by:
811
712
721
613
631
622

Do you see the same pattern that I see..?
Re: answer   [#permalink] 11 Aug 2003, 08:54
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