The letters of the word “FORTUNATES’ are arranged at random in a row. What is the chance that the two ‘T’ come together?

given: word “FORTUNATES”

formula:


In the random arrangement of the alphabets of word “FORTUNATES” we have to find the probability that two T’s come together


total possible outcomes of arranging the alphabets are 10!


therefore n(S)=10!


let E be the event that T’s come together


therefore, number of ways to arrange them so (T, T) come together


n(E)= 9! × 2!




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