2. A teacher is decorating their classroom by placing posters in a row on one wall....

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2. A teacher is decorating their classroom by placing posters in a row on one wall. The teacher has 12 posters, of which 4 are colored and 8 are black & white. a) If the teacher decides to only use 6 posters, determine how many arrangements can be made? Describe 2 different ways to get an answer to this problem. 12 b) If the teacher uses all 12 posters, but wants to have a black & white poster at each end, how many arrangements can be made? Justify your answer. /1 If the teacher uses all 12 posters, but wants all the colored posters to be side-by- side, how many arrangements can be made? Justify your answer. /1 2. A teacher is decorating their classroom by placing posters in a row on one wall. The teacher has 12 posters, of which 4 are colored and 8 are black & white. a) If the teacher decides to only use 6 posters, determine how many arrangements can be made? Describe 2 different ways to get an answer to this problem. 12 b) If the teacher uses all 12 posters, but wants to have a black & white poster at each end, how many arrangements can be made? Justify your answer. /1 If the teacher uses all 12 posters, but wants all the colored posters to be side-by- side, how many arrangements can be made? Justify your answer. /1

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a To determine the number of arrangements when using 6 posters out of 12 we can use the n combinatio... View the full answer