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Consider three set of parallel lines, having a, b, c points respectively & no three apart from the given three are collinear
(i). if p represents number of straight lines that can pass through this system of a + b + c points excluding the three original lines then how many of the following represents correct value of p.
    (1) ᵃ⁺ᵇ⁺ᶜC₂ – (ᵃC₂ + ᵇC₂ + ᶜC₂)
    (2) ab + bc + ca
    (3) ᵃC₁×ᵇC₁ + ᵇC₁×ᶜC1 + ᶜC1×ᵃC₁
    (4) 2(ab + bc + ca)
(ii) what is the number of triangle that can be formed from the system of a + b + c points?
(iii) what is the number of  quadrilaterals that can be formed from the system of a + b + c points

(Q). Consider three set of parallel lines, having a, b, c points respectively & no three apart from the given three are collinear(i). if p represents number of straight lines that can pass through this system of a + b + c points excluding the three original lines...