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In how many ways 16 girls can be divided into 2 teams such that all contain 8 girls to each.

Option: 1

12870


Option: 2

6435


Option: 3

6325


Option: 4

8524


Answers (1)

best_answer

The given information is:

Number of girls =16

Number of teams =12

Number of girls to each team =8

Pick first 8 girls from 16 girls, 

Total no. of ways of choosing is:

\frac{16 !}{(16-8) ! 8 !}=\frac{16 !}{8 ! 8 !}=12870

Pick last 8 boys from 8 boys 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{12870}{2}=6435

Posted by

Suraj Bhandari

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