SOLUTION: (i) Seven friends together with their respective partners all meet up for a meal. To commemorate the occasion they arrange for a paragraph to be taken of all 14 of them standing in
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Question 1175349: (i) Seven friends together with their respective partners all meet up for a meal. To commemorate the occasion they arrange for a paragraph to be taken of all 14 of them standing in a line. How many different arrangements are there if each friend is standing next to his or her partner?
(ii) Mary saves her digital images on her computer in three separate folders named ‘Family’, ‘Holiday’ and ‘Friends’. Her family folder contains 3 images, her holiday folder contains 4 images and her friends folder contains 8 images. All the images are different. Find the number of different ways in which Mary can choose 6 of these images if there are 2 from each folder.
(iii) Find the number of ways of arranging all 12 letters of word STRAWBERRIES where the first and the last letters are vowels. Answer by ikleyn(52778) (Show Source):
7 pairs can be arranged / (ordered) by 7! ways, and the partners inside each pair can be arranged by 2 ways.
In all, there are = 654120 different arrangements.
