What is the probability of the random arrangement of letters in the word "UNIVERSITY" such that the two I's should be together? A. 1/5 B. 3/5 C. 2/7 D. 1/7
Question
Solution 1
To solve this problem, we first consider the two I's as a single entity. So, the word "UNIVERSITY" becomes "UN_VERS_TY" (where _ represents the two I's together).
This gives us 9 entities to arrange (7 letters + 1 pair of I's), which can be done in 9! ways.
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