Answer:
COLLEGE is a 7 letter word.
here E and L will appear for two times so we will get denominator (2!*2!)
so,COLLEGE can be arranged in 7!/(1!*1!*2!*2!*1!)=1260
It is difficult to calculate the case when vowels don't come together so we will be going to calculate the opposite case when vowels do come together.
CLLG(OEE) =4+1 consider OEE as one letteer.
when vowels come together =(5!/2!)*(3!/2!)=180 (3!/2! is the arrangement of vowels total 3 vowels 3! and E repeats two times.)
vowels don't come together =1260-180=1080.
Step-by-step explanation:
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