Which of the following is an example of a combination?
A. The number of ways that 4 people can win 4 different prizes
B. Picking 3 books to take with you on vacation from a collection of 20 books
C. Selecting a president, vice president, and treasurer
D. The number of ways that 7 books can be placed in a row on a bookshelf
Answer: The correct options are B and C.
Combination is the selection of some objects from the set with the irrelevance to the sequence of a choice. In option A, we will take the set of the first three books from a collection of 20 books, and the order in which we will select the books is of little importance. Moreover, in the C option case, we choose the president, the vice president, as well the treasurer from a group of people and the order of selection is not significant here. Options A and D each calls for arrangements that are logically based because the order of selection or arrangement is an important part and therefore are not among the examples of combinations
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