Q.

The number of ways in which 21 objects can be grouped into three groups of 8, 7 and 6 objects is

1 20!8!+7!+6!  
2 21!8! 7!  
3 21!8! 7! 6!  
4 21!8!+7!+6!  

Ans.

(3)

Out of 21 objects, if we take 8 objects as 8 similar objects, 7 objects as 7 similar objects and 6 objects as 6 similar objects.

∴   Number of ways =21!8! 7! 6!