Ple give me Answer of Que no. 64 & 65 આખો દાખલો ગણી આપવો...

Harshita · 17 May 2025

--- Q64 (Set Theory - Complaints in Canteen): Given: n(M) = 110 (Mess), n(F) = 55 (Food), n(S) = 67 (Service), n(M ∩ F) = 20, n(F ∩ S) = 20, n(M ∩ S) = 30, n(M ∩ F ∩ S) = 16 Using Inclusion-Exclusion Formula: n(M ∪ F ∪ S) = n(M) + n(F) + n(S) - n(M ∩ F) - n(F ∩ S) - n(M ∩ S) + n(M ∩ F ∩ S) = 110 + 55 + 67 - 20 - 20 - 30 + 16 = 178 Answer: (c) 178 --- Q65 (3-subject pass question): Total students = 150 Passed Acc = 45 Passed Maths = 50 Passed Comm = 75 Passed Acc & Maths = 30 Passed Acc & Comm = 32 Passed Maths & Comm = 42 Passed All 3 = x Using Inclusion-Exclusion Formula: Total passed at least one = = 45 + 50 + 75 - 30 - 32 - 42 + x = 170 - 104 + x = 66 + x So, 66 + x = 150 → x = 84 Answer: (c) 84