A chain store has 6 warehouses and 62 retail outlet stores. In how many differen

Question

A chain store has 6 warehouses and 62 retail outlet stores. In how many different ways could they ship a case of tomato sauce from one of the warehouses to one of the retail stores? In how many different ways can a laboratory technician choose four out of twenty mice, inject two of them with a low level of medicine, and the other two of them with a higher dose of medicine? In the card game Resistance, each player can either draw a "Spy" or "Resistance" card. In a game of 6 players, there are always 2 spies and 4 resistance cards. In each round of the game, all cards are shuffled and re-dealt. Players all try to convince each other of their loyalty to the resistance. If I have drawn the spy card in each of the last three rounds, what is the probability that I will draw it again in the fourth round?

Explanation / Answer

1) One warehouse can be choosen from six warehouses in C(6, 1) ways, and one retail store out of 60 can be choosen in C(60, 1) ways. Thus, the total number of different ways of shipping a case of tomato from one warehouse to one retail store is C(6,1)*C(60, 1)= 6*60=360 ways.

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