JEE Advanced Model Paper 17 with solutions for online practice

Let P (A) = a , P (B) = b , P (C) = c
⇒ P (A ∪ B ∪ C) = P (A) + P (B) + P (C) - P (A ∩ B) - P (B ∩ C) - P (C ∩ A) + P (A ∩ B ∩ C)
⇒ 1 = a + b + c - ab - bc - ca + abc
⇒ 1 - (a + b + c) + (ab + bc + ca) - abc = 0
⇒ (1 - a) (1 - b) (1 - c) = 0 ⇒ at least one among a,b,c is 1