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In how many ways 6 different objects can be divided into 2 groups such that a group contains three objects each.

Option: 1

20


Option: 2

36


Option: 3

100


Option: 4

10


Answers (1)

best_answer

The given information is:

Number of objects =6

Number of groups =2

Number of objects in each groups =3

Pick first 3 objects from objects, 

Total no. of ways of choosing is:

\frac{6 !}{(6-3) ! 3 !}=\frac{6 !}{3 ! 3 !}=20

Pick last 3 objects from remaining 3 objects and the number of ways this can be done is 1 .

Since the two groups are similar, there is no differentiation between them. Therefore, we need to divide it with 2 !=2 .

The total numbers of ways:

\frac{20}{2}=10

Posted by

Ajit Kumar Dubey

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