AMC 8 2003 Problem 18
AMC8 2003 年第 18 题
统计与数据图表★★★☆☆
Each of the twenty dots on the graph below represents one of Sarah's classmates. Classmates who are friends are connected with a line segment. For her birthday party, Sarah is inviting only the following: all of her friends and all of those classmates who are friends with at least one of her friends. How many classmates will not be invited to Sarah's party?
下图中的 20 个点中的每个点代表 Sarah 的一个同班同学。这些同班同学中,若某两人之间是朋友关系,则用线段将这两人相连。Sarah 只打算邀请符合下面条件的人参加她的生日聚会:
她的所有朋友,以及所有与她的至少一个朋友是朋友。有多少同学不会被邀请参加 Sarah 的聚会?
- A.1
- B.4
- C.5
- D.6
- E.7
正确答案 · Correct Answer
D
解析 · Solution
Solution 1
There are 3 people who are friends with only each other who won't be invited, plus 1 person who has no friends, and 2 people who are friends of friends of friends who won't be invited. So the answer is 6.
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