Counting rules. This topic can get complicated quickly, so let\'s start off simp
ID: 3220706 • Letter: C
Question
Counting rules. This topic can get complicated quickly, so let's start off simply. Recall that in some situations the order of an arrangement matters (e.g. {Adam, Alice, Ajay} is not the same as {Ajay, Adam, Alice}). These arrangements are called permutations. In other contexts, order does not matter. For instance, if three people are to be selected to take a trip to Chicago. It does not matter which order we list them {Adam, Alice, Ajay} is now the same as {Ajay, Adam, Alice}. These unordered arrangements are called combinations. Let's see if we can figure out first, contexts when order matters and when it does not. For questions 1and 2, that is all you need to do. 1. In which of the following situations does order matter, and in which of the following does order not matter? Write only "order matters" or "order does not matter". There is no need to work out the number of outcomes. a 8 children running a race. In how many ways can we award 1^st, 2^nd and 3^rd prizes? b or 8 children in a class, 3 are to each receive a star for merit How many ways can we award the stars? c 4 people are to be selected from 10 to form an oversight committee (all members of the committee have equal powers and no one member outranks the other). How many ways can we make the selection? d You have decided that you want a bowl of ice cream with 3scoopseach scoop being distinct You have 20 flavors to choose from. How many ways can you construct your bowl of ice cream? e In how many ways can you arrange the letters of the word "ABOLISHMENT"?Explanation / Answer
a) order matters
b) order does not matter
c) order does not matter
d) order does not matter
e) order matters