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Add Maths Question of Permutation And Combinations

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A box contains sweets of 6 different flavors. There are at least 2 sweets of each flavor. A girl selects 3 sweets from the box. Given that these 3 sweets are not all of the same flavor, calculate the number of different ways she can select her 3 sweets.
Explanation with solution would be appreciated.
 
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