Letters From
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How many arrangements of five letters from the word certain?
How many arrangements of five letters from the word “certain” contain the letter “T”?
Thats correct San, but how did you get the 5 in front?
5C1 (6)(5)(4)(3) = 1800
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For your additional question: Since “T” must be picked, T can be in any one of the 5 positions of the five letters. So, 5C1 is the way to arrange T. The other four positions can be filled by the remaining 6 letters which has 6*5*4*3 different ways. Using multiplication principle, you can get the answer.
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