Question

How many possible outcomes exist in the following situations?

(a) A board of 3 mathematicians and 3 physicists is to be selected from a group of 6 mathematicians and 7 physicists.

(b) During a dinner consisting of several courses, a guest can choose a starter (soup or salad), a main course (meat, fish or tofu), side dish (rice, pasta or potatoes) as well as a dessert (apple pie or chocolate flan).

(c) In a restaurant kitchen a salad plate is prepared. The cook can select from the following sorts:lettuce, chicory, corn salad and iceberg lettuce.

How many different salad plates can be served?

(d) How many ways exist to select 6 out of 42 numbers in a lottery?

Answer 1