Joey is planning to throw a small party and for that he needs to do the following tasks:\nI. Decide guest list\nII. Send invites\nIII. Arrange catering\nIV. Decide the venue\nV. Rent a music system\nThe tasks can be done in any order as long as the invites are sent after the guest list is decided. In how many ways can Joey do the five tasks listed above?\nOptions:\n(A) 24\n(B) 48\n(C) 60\n(D) 120\n(E) 240 OK. Let's think. Some random thoughts first:
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These 5 tasks can be arranged in 5! = 120 ways. In half of them invites are sentafterthe guest list is decided and in half of them before. So, there are total of 120/2 = 60 ways to arrange the task so that the invites are sent after the guest list is decided. The answer: (C).
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