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By following the method in the image below, how many ways can you arrange the letters of the work think so that the 't' and

By following the method in the image below, how many ways can you arrange the letters of the work "think" so that the 't' and the 'h' are separated by at least one other letter. Make sure to fill in the blanks as demonstrated by the image. Show your work. The sum of the 5 cases is 72.

image text in transcribed
Treat each possible position of the T'as a different case T' in Ast position. = I in 2 nd position "T'in 3 rd position Tiin 4th position "' in 5 th position Total #

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