There are 5 students in class 10 , 6 students in class 11 and 8 students in class 12 . If the number of ways, in which 10 students can be selected from them so as to include at least 2 students from each class and at most 5 students from the total 11 students of class 10 and 11 is 100 k , then k is equal to

Step-by-step solution

Class   10 th   11 th   12 th   Total   student   5 6 8 From these students, we can choose two students from class 10 , three students from class 11   &   5 students from class 12 . So, total number of ways is C 2 5 × C 3 6 × C 5 8 Again, From these students, we can choose two students from class 10 , two students from class 11   &   6 students from class 12 . Number of selection = C 2 5 × C 2 6 × C 6 8 Again, from these students, we can