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Find the probability that in a random ar...

Find the probability that in a random arrangement of the letters of the word ‘UNIVERSITY’ the two I’s come together.

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Out of the letters in the word UNIVERSITY there are two I's
Number of permutation `=(10!)/(2!)`
The number of words in which two I's are
total number of words-number of words in which two I's are together
`= 9!/(10!/2!)`
=` (9!. 2!)/(10!)`
...
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