P & C

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1.An unlimited number of red, white, blue and green balls are given. The number of ways of
selecting 10 balls is ?
2.The greatest possible number of points of intersection of 8 straight lines and 4 circles is?

#Mathematics #Algebra

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Tush Watts ·2010-01-11 10:35:55

Ans 2) 8 straight lines intersects each other in ⁸ C ₂ ways = 28 points

4 circles intersects each other in⁴ P₂ ways = 12 points

Now, every line cuts 4 circles into 8 points. Therefore, 8 st liines will cut 4 circles into 64 points.

Therefore, the max no. of points = 28 + 12 + 64 = 104 points

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Amritansh Bharech ·2010-01-11 10:38:26

the first ques. is same as answerin the no. of solns to x + y + z +x + w = 10 , all >=0

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souravkundu ...... ·2010-01-11 10:48:01

i agree to both tushar n amritansh

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eureka123 ·2010-01-11 22:33:45

maybe Amritansh made a typo

its x+y+z+w=10

=> ^10+4-1C_4-1=¹³C₃=286

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Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ 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

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P & C

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