5) Nick is responsible for keeping the office drinks cooler filled. He can purchase up to...

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5) Nick is responsible for keeping the office drinks cooler filled. He can purchase up to 10 cases of identical carbonated drinks, up to 12 cases of identical juice, up to 20 cases of identical spring water, and up to 8 cases of identical iced tea without consulting his supervisor first. [A-2, 3] a) How many different purchases can Nick make without his supervisor's signature? Assume at least one purchase must be made. Total purchases = (10+1) x (12+1) x (20+1) x (8+1) = 11 x 13 x 21 x 9 = 27027 I b) Nick's supervisor informs him that he must get at least two cases if each type of drink. Determine the probability that Nick will satisfy his supervisor's request, assuming Nick makes a random order. 5) Nick is responsible for keeping the office drinks cooler filled. He can purchase up to 10 cases of identical carbonated drinks, up to 12 cases of identical juice, up to 20 cases of identical spring water, and up to 8 cases of identical iced tea without consulting his supervisor first. [A-2, 3] a) How many different purchases can Nick make without his supervisor's signature? Assume at least one purchase must be made. Total purchases = (10+1) x (12+1) x (20+1) x (8+1) = 11 x 13 x 21 x 9 = 27027 I b) Nick's supervisor informs him that he must get at least two cases if each type of drink. Determine the probability that Nick will satisfy his supervisor's request, assuming Nick makes a random order.