14111cn6.6-8

# 14111cn6.6-8 - c Kendra Kilmer Section 6.2 The Number of...

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c Kendra Kilmer September 16, 2011 Section 6.2 - The Number of Elements in a Finite Set Definition: For a set A , we denote the number of elements in A as n ( A ) . Example 1: If A = { a , b , c } , B = { x | x is a letter in the English Alphabet } , and C = /0, find: a) n ( A ) b) n ( B ) c) n ( C ) You will need to remember the following formula: n ( A B ) = n ( A )+ n ( B ) - n ( A B ) Example 2: Does the formula make sense? Example 3: In a recent survey of 200 members of a local sports club, 100 members indicated that they plan to attend the next Summer Olympic Games, 60 indicated that they plan to attend the next Winter Olympic Games, and 40 indicated that they plan to attend both games. How many members of the club plan to attend a) At least one of the two games? b) The Summer Olympic Games only? c) Exactly one of the games? d) None of the games? 6

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c Kendra Kilmer September 16, 2011 Example 4: If n ( A ) = 12 , n ( B ) = 12 , n ( A B ) = 5 , n ( A C ) = 5 , n ( B C ) = 4 , n ( A B C ) = 2, n ( A B C ) = 25, and n ( A c B c C c ) = 7, find n ( C ) .
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• Fall '08
• JillZarestky
• Olympic Games, Summer Olympic Games, Winter Olympic Games, Olympic sports, Kendra Kilmer, students ate breakfast

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