In an FBI training exercise twelve new recruits are to break into six pairs for physical skill drills. How many pairings are possible? Hint: The order of the recruits within a pair does not matter, nor does the order of the pairs. One way of thinking about this problem might be to consider lining up the 12 recruits left-to-right, and then think about how many recruits are available to be paired with the left-most player. Then think about the remaining 10 recruits and think about how many recruits are available to be matched with the now left-most player of the set of 10 players. Repeat this process to count the total number of pairings possible.

In an FBI training exercise twelve new recruits are to break into six pairs for physical skill drills. How many pairings are possible? Hint: The order of the recruits within a pair does not matter, nor does the order of the pairs. One way of thinking about this problem might be to consider lining up the 12 recruits left-to-right, and then think about how many recruits are available to be paired with the left-most player. Then think about the remaining 10 recruits and think about how many recruits are available to be matched with the now left-most player of the set of 10 players. Repeat this process to count the total number of pairings possible.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.CT: Chapter Test

Problem 2CT: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and a drink....

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