general problem

Let S be the set of all vertices of a unit cube.Let T be the set of the triangles having vertices in S

then the number of equilateral , scalene, and isoceles triangles are ?

PLz answer quickly i want to check my answers..

6 Answers

equilateral: 4
iso: 24

scalene: 28

I am not sure either.. but just a quick calculation!

isoceles i got 24

but the other two are not matching bhaiyya

i got 8 for equilateral and 8 for scalene

8C3 = 8.7 = 56

so the no of triangels should be 56

I may be wrong and yeah i am wrong in the equilat traingles.. it si 8..

ooops ya i missed one case

so number of scalene triangles = 24

can you mention how exactly you found it

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω