Question 1008407: Your company will have a year-end outing in Palawan for five days. The organizing committee plans to have these activities during the outing; 2 days for island hopping; 1 day for a visit to Puerto Princesa Underground River; and another 2 consecutive days for team building and other fun activities. list all the possible itineraries for the company's outing. is there any method or device to find the different itineraries? show solution and explain.
Answer by fractalier(6550)   (Show Source):
You can put this solution on YOUR website! This is like asking how many different five-letter arrangements can be made from the letters A, A, B, C, and C. Call island hopping A, Puerto visit B, and team building C.
You find this by calculating
5!/(2!)(2!) = 30 different ways to have an itinerary.
Listing them should not be difficult, just a bit time-consuming...start by listing
AABCC
ABACC
ABCAC
ACABC
ACACB
etc.
There should be thirty in all.
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