can you solve this ques

Simplify following statement using laws of logics

Page 1 of 2 ZOOM + interested in English subject, 14 interested in Mathematics, and 11 in Urdu, 6 is in English and mathematics, 4 is in English and Urdu , and 5 is in English and Urdu. 15 students not interested in any subject. How many students interested in 3 subjects? Also represent your answer by using Venn diagram. Question 2. (3) Consider the following assertions about the sets A, B and C. Write them down in the language of predicate logic. Use only the constructions of predicate logic (V, 3, -, =, A, V) and the element- of symbol (E). Do not use derived notions (n, U, =, etc.). Hint "A is a subset of B" can be formalized as VX. X E A == XEB. (i) The sets A and B are equal. (ii) Every element of A is in the set B or the set C. (iii) If A is disjoint from B then B and C overlap. Question 3. Simplify following statement using laws of logics (6) 1) (pvqv~ r)v(pv~qv~s)v(pv~rv~s)A (~pv~qv~s) v(~pv~ rv~s) 2) (~pv~qvr)v(pvqv ~s)v(pvqvr)(pv~qv ~s)A (pvqv~ r)