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# Counting methods # 23

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Manager
Joined: 24 Jun 2003
Posts: 91

Kudos [?]: 4 [0], given: 0

Location: Moscow

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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?

Kudos [?]: 4 [0], given: 0

Manager
Joined: 10 Jun 2003
Posts: 209

Kudos [?]: 7 [1], given: 0

Location: Maryland

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11 Aug 2003, 08:54
1
KUDOS
Konstantin Lynov wrote:

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..?

Kudos [?]: 7 [1], given: 0

Manager
Joined: 10 Jun 2003
Posts: 209

Kudos [?]: 7 [0], given: 0

Location: Maryland

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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)

Kudos [?]: 7 [0], given: 0

Manager
Joined: 24 Jun 2003
Posts: 91

Kudos [?]: 4 [0], given: 0

Location: Moscow

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11 Aug 2003, 08:16

Kudos [?]: 4 [0], given: 0

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