1 a) The number of 5-letter arrangements using the word ABSOLUTE is 6720. Demonstrate two ways that this value can be determined. (1 mark) b) Determine the number of arrangements if all the letters of the word REIMANNIAN, if the arrangement must begin with an N. (2 marks)
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The word ABSOLUTE has 8 letters, but since there are two repeated letters (E), we need to divide the total number of arrangements by 2 to account for the repetition. So, the number of arrangements can be calculated as: 8! / 2! = 40,320 / 2 = 20,160 Show more…
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