Applying Counting Method Speech or Presentation Example | Topics and Well Written Essays - 500 words

Applying Counting Method - Speech or Presentation Example At first we had 5 choices, then 4, and then 3.The total number of options was 5*4*3=60. We had to pick three pupils out of the five. To do this, we had to start with all the 5 options, then4, and, lastly, 3 when we ran out of the top three positions. The factorial for this is: 5! =5.4.3.2.1, but we only need 5*4*3 .So how do we get rid of 2*1? If we do 5!/2!, we get this: 5!/2!=5.4.3.2.1/2.1=5.4.3we used 2, because this is what remained after picking the top three positions. This can further be expressed as: 5! / (5-3)! This means that we use the first three numbers of 5! On the other hand, combination is very simple, since the order does not matter. Dog, cat, and a goat. Let’s figure out how many different ways these animals can be rearranged. We have 3 choices for the first animal, 2 for the second animal, and 1 for the last one. Therefore, we have 3*2*1 ways to rearrange the animals. Since there are 30 runners for the qualifier, the first run can be ran by all of them, the 2nd by 29, the 3rd by 28, the 4th by 27, and so on until the remaining individual is one in the track. Hence, the answer is 30