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How many arrangements of 5 letters from the word "CERTAIN" do not contain letter "T"? Explain your reasoning?

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How many arrangements of 5 letters from the word "CERTAIN" do not contain letter "T"? Explain your reasoning?

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  1. you have 7 letters in certain, but you don't want t, so you could use the other 6.

    answer = 6*5*4*3*2 = 6! = 720

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