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The average age of a class was 15 years.When 5 boys whose average age was 12 years 6 months were admitted in the class,the average was reduced by 6months.How many students were there in the class originally?

In class 12 there are 8 students. In class 11 there are 6 students .In class 10 there are 5 students . Total ways of selecting 10 students , such that there are at least 2 students from each class and at most 5 students from 11 students of Class 10 and 11 combined is 100k. Then find value of k