A Chinese restaurant offers 10 different lunch specials. Each weekday for one we

Question

A Chinese restaurant offers 10 different lunch specials. Each weekday for one week, Fiona goes to the restaurant and selects a lunch special. How many different ways are there for her to select her lunches for the week? Note that which lunch she orders on which day matters, so the following two selections are considered different. One possible selection: Mon: Kung pao chicken Tues: Beef with broccoli Wed: Kung pao chicken Thurs: Moo shu pork Fri: Beef with broccoli A different selection: Mon: Beef with broccoli Tues: Kung pao chicken Wed: Kung pao chicken Thurs: Moo shu pork Fri: Beef with broccoli Now suppose that in addition to selecting her main course, she also selects between water or tea for her drink. How many ways are there for her to select her lunches?

Explanation / Answer

For Monday She can choose between any 2 lunches and any 2 beverages in 4 ways

(Kung Pao, Water), (Kung Pao,Tea), (Beef with Brocolli, Water), (Beef with Brocolli, Tea)

Similarly for Tuesday She has 4 such choices.

On Wednesday, Thursday and Friday, the main course is same. So there are only 2 ways of selecting her lunch for eg., on wednesday (Kung Pao Chicken, Water) or (Kung Pao Chicken, Tea)

The total number of ways for selecting her lunch for the week = 4+4+2+2+2 = 14 ways .

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