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  4. Four students of class X, five students of class XI and six students of class XII sit in a row. The number of ways, they can sit in a row so that students belonging to the same class are together is :

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Q. Four students of class X, five students of class XI and six students of class XII sit in a row. The number of ways, they can sit in a row so that students belonging to the same class are together is :

Permutations and Combinations

Solution:

Treating them as three groups, the three groups can be arranged in 3! ways. There after each group can be arranged internally.
Total number = 3! $\times$ 4! $\times$ 5! $\times$ 6!