Question

Jack wants to pack three different colored shirts for a trip. If he has seven colors to choose from, how many different selections of shirts can he make

Answer 1

In the context of probability, an experiment is a process:

First, he has to decide on a pair of shirts and he has 7 different colors to choices.

A value between 0 and 1, inclusive, describes the relative possibility (chance or likelihood) that an event will occur.

For each of those choices he has a choice of 7 different shirts, so that gives him 3 times 7 = 21 different shirts.

For each of those 21 possibilities, he has 21 times 3 = 63 different outfits, and some of them may be acceptable to wear in public.

It is simply,3*3*7=64 ways.

The number of favorable outcomes is divided by the number of possible outcomes.

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