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Unformatted text preview: the box? Counting methods 3 Order does not matter and so all of the following are considered to be the same 2 3 1 3 2 2 2 3 3 3 3 2 2 1 1 1 1 1 Counting methods 3 Position 1 Position 2 Position 3 The first position can be filled in 6 ways, the second in 5 and the third in 4 ways. Thus there are 6 5 4 ways of placing the rabbits in a row of three But there are 3 2 1 ways of arranging a particular three rabbits in a row. Therefore the number of ways the rabbits can be chosen = 20 1 2 3 4 5 6 = Counting methods 3 123 124 125 126 134 135 136 145 146 156 234 235 236 245 246 256 345 346 356 456 The possible selections are as shown...
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 Spring '11
 staff
 Math, Counting

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