![]() + n k.Ĭonsider the following problem of purchasing a computer: A manufacturer A offers five different CPU clock rates, four different sizes of RAMs and three different capacities of disks among others. ![]() Then the total number of outcomes for the event "A 1 or A 2 or. This addition principle can be generalized for more than two events. According to the addition principle there are 5 + 8 = 13 possible selections. There are 5 oucomes for the chicken event and 8 outcomes for the beef event. In this case, an event is "selecting a dish of either kind". How many selections does a customer have ? Note that the events must be disjoint, that is they must not have common outcomes for this principle to be applicable.Įxample: Suppose there are 5 chicken dishes and 8 beef dishes. Then the total number of outcomes for the event "A 1 or A 2" is n 1 + n 2. ![]() Let A 1 and A 2 be disjoint events, that is events having no common outcomes, with n 1 and n 2 possible outcomes, respectively. Thus the event "selecting one from make A 1", for example, has 12 outcomes. Choosing one from given models of either make is called an event and the choices for either event are called the outcomes of the event. This is the Addition Principle of Counting. Since we can choose one of 12 models of make A 1 or one of 18 of A 2, there are altogether 12 + 18 = 30 models to choose from. Then how many models are there altogether to choose from ? ![]() Suppose that we want to buy a computer from one of two makes A 1 and A 2 Suppose also that those makes have 12 and 18 different models, respectively. ![]()
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