# 精算每日一题 004|一道会说谎的排列组合题(概率论)

SOA 的 Exam P Sample 第247题。

SOA P Sample Q247 : Each week, a subcommittee of four individuals is formed from among the members of a committee comprising seven individuals. Two subcommittee members are then assigned to lead the subcommittee, one as chair and the other as secretary.

Calculate the maximum number of consecutive weeks that can elapse without having the subcommittee contain four individuals who have previously served together with the same subcommittee chair.

1. 70
1. 140
1. 210
1. 420
1. 840