1. In a survey of 100 people, it was found that 45 liked folk songs, 40 liked modern songs, 35 liked Pop songs and 20 people liked all songs. If none of the people liked two songs only, a. If F, M and P represents the set of people who liked Folk songs, Modern songs and Pop songs respectively, write the notation of number of people who liked all three songs in cardinality of set. b. Draw a Venn-diagram to illustrate the above information. c. How many people did not like any songs? 1 d. Find the percentage of people who liked modern songs only.​