3. Let B = subset of big fruits in the basket X, S = subset of sour fruits in X, b = Bl. s = [S], and f = #(all fruits in X). Then, there are at most min(b, s) big and sour fruits in X, and at least max(0,b+s-f) big and sour fruits. (1) Let R = subset of ripe fruits in X and r = |R]. Complete the sentence below; use a formula in terms of b, s, etc. There are at most. ..... many fruits that are big, sour, and ripe in X. (ii) Suppose b = 6, s = 7, r = 4, and f = 10. Give a Venn diagram to verify your answer in (a). (iii) For the case in (ii), what can you say about at least how many fruits are big, sour, and ripe? Give a Venn Dia- gram to illustrate your answer. (iv) How would that answer change if f = 9 and f = 8? (v) Find the condition(s) for the answer 0 for the minimum number of fruits that have to be big, sour, and ripe. (Hint: If any of BS], BR), and SnR equal O, then clearly BrSRI = 0; there are still other ways that BSR may be 0.) 3. Let B = subset of big fruits in the basket X, S = subset of sour fruits in X, b = Bl. s = [S], and f = #(all fruits in X). Then, there are at most min(b, s) big and sour fruits in X, and at least max(0,b+s-f) big and sour fruits. (1) Let R = subset of ripe fruits in X and r = |R]. Complete the sentence below; use a formula in terms of b, s, etc. There are at most. ..... many fruits that are big, sour, and ripe in X. (ii) Suppose b = 6, s = 7, r = 4, and f = 10. Give a Venn diagram to verify your answer in (a). (iii) For the case in (ii), what can you say about at least how many fruits are big, sour, and ripe? Give a Venn Dia- gram to illustrate your answer. (iv) How would that answer change if f = 9 and f = 8? (v) Find the condition(s) for the answer 0 for the minimum number of fruits that have to be big, sour, and ripe. (Hint: If any of BS], BR), and SnR equal O, then clearly BrSRI = 0; there are still other ways that BSR may be 0.)