Find the probability that in a random arrangement of the letters of the word 'UNIVERSITY' the two I's do not come together ?

Question

Find the probability that in a random arrangement of the letters
of the word 'UNIVERSITY' the two I's do not come together ?

priyanka saggu · Accepted Answer

Total number of words formed by UNIVERSITY = 10!2!Taking two I's
together, number of ways to arrange letters of the wordUNIVERSITY =
9!Probability (two I's come together) = 9!10!2!= 15so, Probability
(two I's do not come together) = 1-15= 45