A youth club has introduced three new activities badminton (B), cookery (C) and drama (D). Each of the 75 members of the youth club is asked to say in which of these activities they have participated. Their answers showed that of the 75 members all have participated in at least one of these activities 27 have participated in badminton and drama 31 have participated in badminton and cookery 23 have participated in cookery and drama 48 have participated in badminton B PC 49 have participated in cookery 40 have participated in drama. Let x be the number of members of the youth club who have participated in all three activities. (a) Using all this information, complete the Venn diagram opposite to show, in terms of x, the number of elements in each appropriate subset. (b) Find the value of x. (2. (c) Find (i) n(BnC) (ii) n

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