Question 1164753
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In the word  KNOWLEDGE, we have 6 different consonants and TRIO of vowels.


We consider the trio as one single object (looking from the long distance).


From this point of view, we have 6+1 = 7 objects to permute, which gives 7! = 5040 permutations.



Changing/switching the scope to close view, wee see that the trio of vowels admits 3 arrangements,

giving the total number of all possible arrangements 3*5040 = 15120.



<U>ANSWER</U>.  The total number of all possible arrangements is 15120.
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Solved.