CHAPTER 7

Permutation and Combination

7.1  FUNDAMENTAL COUNTING PRINCIPLE

It helps us to find the total outcomes possible for a given problem.

If a certain thing can be done in m ways and another thing is done independently in n ways, then the total number of ways in which both the things can be done are m × n ways.

Take one way of doing the first thing. Combine this with any one of the n ways of doing the second thing. Therefore, there are n ways of combining the first thing with the happening of the second thing. Hence, there are m × n = mn ways of combining the happening of the first thing with the happening of the second thing.

EXAMPLES

  1. If you have m ways of doing an event 1, n ways of doing event 2 and k ways of doing event 3, the total ...

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