# Words from the letters of the word PROBABILITY are formed by taking all letters at a time. The probability that both B’s are not together and both i’s are not together is

Question : Words from the letters of the word PROBABILITY are formed by taking all letters at a time. The probability that both B’s are not together and both i’s are not together is

(A) 52/55

(B) 53/55

(C) 54/55

(D) none of these

$1-\dfrac{9!\times 4}{11!}=\dfrac{53}{55}$