CSCA67H3 Lecture Notes - Product Rule
6 Nov 2013
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CSCA67H3 Full Course Notes
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The commercial"s deal was: 2 pizzas, up to 5 toppings on each, 11 toppings to choose from, all for . 98 (back in 1997). The commercial"s math kid claimed there are 1,048,576 possibil- ities. A: this is stilll not quite correct. 3: how do we know that this is the correct answer, one way to convince ourselves is try to nd another way to count the same problem. We counted all possible orders and then removed duplicates. Why not just 4: let"s count how many possible passwords there are of lengths. So there are more than 14 million times as many passwords of length 8 than of length 4. When counting we need to be able to determine whether to sum or multiply the number of objects. If an operation can be performed in n different ways, each having xi possible outcomes, then the total number of outcomes possible is n(cid:88) xi i=1.
