permutation

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jahid55
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permutation

Unread post by jahid55 » Fri Sep 27, 2013 7:30 pm

একটি সমতলে 15 টি বিন্দু আছে ।এদের মধ্যে 5 টি বিন্দু একই সরলরেখায় অবস্থিত ।অপর যে কোন 3 টি বিন্দু সমরেখ নয় ।বিন্দুগুলো যোগ করে মোট কয়টি সরলরেখা পাওয়া যাবে?

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nishat protyasha
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Re: permutation

Unread post by nishat protyasha » Mon Sep 30, 2013 2:11 pm

আমার মনে হয় 96 টি সরলরেখা পাওয়া যাবে।

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Fatin Farhan
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Re: permutation

Unread post by Fatin Farhan » Mon Sep 30, 2013 4:15 pm

C(15,2)-C(5,2)+1.
Last edited by Fatin Farhan on Wed Oct 02, 2013 8:20 am, edited 1 time in total.
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nishat protyasha
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Re: permutation

Unread post by nishat protyasha » Mon Sep 30, 2013 8:31 pm

@ Fatin
I think, the answer is C(10,2)+(5*10)+1= 96.But my answer has not matched with yours.

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Fatin Farhan
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Re: permutation

Unread post by Fatin Farhan » Wed Oct 02, 2013 8:25 am

I forgot to add 1.
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Ragib Farhat Hasan
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Re: permutation

Unread post by Ragib Farhat Hasan » Tue Sep 29, 2015 9:17 pm

Based on the same situation, how many triangles can be formed?

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