The-number-of-triangles-that-can-be-formed-by-5-points-in-a-line-and-3-points-on-a-parralel-line-is-

Question Number 180520 by cortano1 last updated on 13/Nov/22

The number of triangles

that can be formed by 5 points

in a line and 3 points on a parralel line

is___

Answered by nikif99 last updated on 13/Nov/22

C o m b i n e a n y t w o p o i n t s o f t h e b o t t o m

l i n e w i t h e a c h p o i n t o f t h e t o p l i n e

a n d v v .

C_{2}^{5} \times 3 + C_{2}^{3} \times 5 = 30 + 15 = 45

Commented by cortano1 last updated on 13/Nov/22

my way = (\begin{matrix} 8 \\ 3 \end{matrix}) - (\begin{matrix} 5 \\ 3 \end{matrix}) - (\begin{matrix} 3 \\ 3 \end{matrix})

= 56 - 10 - 1 = 45

Answered by Acem last updated on 13/Nov/22

{N u m}_{T r .} = C_{1}^{5} C_{2}^{3} + C_{2}^{5} C_{1}^{3} = 45

T h e m e t h o d a b o v e i s m o r e c o m p r e h e n s i b l e

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