do work problem 2 only
Extracted text: Work Problem 1 Given a bowl that contains apples, oranges, and pears and fruits of the same kind are considered identical. a) How many ways are there to select seven pieces of fruit from the bowl? b) How many ways are there to select seven pieces of fruit from the bowl, if we must select at least one from each fruit? Work Problem 2 a) How many different bit strings can be formed using four 1s and five os? b) How many different bit strings can be formed using four 1s and five Os, if all os must appear together? Work Problem 3 a) Given the relation R1 = {(1,1), (1,2), (2, 1), (4, 3), (2, 2), (3, 3), (4, 4), (3, 4)} on the set {1, 2, 3, 4} examine if it is reflexive, symmetric and transitive. Justify your answer. b) Given the relation R2 = {(a, a), (a, b), (c, c), (b, a), (d, d), (d, c), (c, d)} on the set {a, b, c, d} examine if it is reflexive, symmetric and transitive. Justify your answer.