(a) State and prove De Morgan's laws of sets and Distributive Laws of…

Previous year question for Discrete Mathematics.

Question

(a) State and prove De Morgan's laws of sets and Distributive Laws of sets.

(b) In a group of 120 people, 50 speak English, 70 speak Hindi, 20 speak French, 5 speak English and French, 20 speak English and Hindi, 10 speak Hindi and French and 3 speak all three languages. Then how many speak

(i) Hindi alone (ii) French alone (iii) English but not Hindi (iv) Hindi but not French

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