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Praetorian
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[#9] 2 Min. Challenge : Gardener 08 Mar 2004, 21:22
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Rules
1. Time yourself
2. Solve this problem on a sheet of paper [ under 2 mins, if possible]
3. type in your solution and the time, if possible

In how many different ways can a gardener plant ten trees in three days if he should plant atleast one tree per day a day?

24
28
36
42
46



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kpadma
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[#9] 2 Min. Challenge : Gardener 08 Mar 2004, 22:16
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my anwer 36,
I counted the possibilities
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[#9] 2 Min. Challenge : Gardener 09 Mar 2004, 05:54
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This is basically 8+7+6+5+....1 = 8 * 9/2 = 36
Under 2 minutes.
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Makky07
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[#9] 2 Min. Challenge : Gardener 09 Mar 2004, 07:07
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Anandnk, please can you explain your method?

Thanks.
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[#9] 2 Min. Challenge : Gardener 09 Mar 2004, 08:20
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I hope my solution is correct.

Let us say the gardener plants 1 tree on first day and 1 tree on a second day. The he has to plant 8 trees on third day. Following are the combinations for planting 1 tree on a first day
(1,1,8)
(1,2,7)
(1,3,6)
...
...
(8,1,1)
Total 8 combinations
If he plants 2 tree on first day you get
(2,1,7)
(2,2,6)
....
(8,1,1)
Total 7 combinations

Like this you get 8+7+6+4+3+2+1 = n*(n+1)/2 = 8*9/2 = 36
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[#9] 2 Min. Challenge : Gardener 09 Mar 2004, 08:37
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Thanks!

That's a good one.
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[#9] 2 Min. Challenge : Gardener 09 Mar 2004, 11:07
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anandnk
I hope my solution is correct.

Let us say the gardener plants 1 tree on first day and 1 tree on a second day. The he has to plant 8 trees on third day. Following are the combinations for planting 1 tree on a first day
(1,1,8)
(1,2,7)
(1,3,6)
...
...
(8,1,1)
Total 8 combinations
If he plants 2 tree on first day you get
(2,1,7)
(2,2,6)
....
(8,1,1)
Total 7 combinations

Like this you get 8+7+6+4+3+2+1 = n*(n+1)/2 = 8*9/2 = 36
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Correct. the answer is 36. good explanation



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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Thank you for understanding, and happy exploring!