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In how many ways 18 bats can be divided into 2 teams such that all contain 9 bats to each.

Option: 1

4410806400


Option: 2

8821612856


Option: 3

8821612800


Option: 4

8821612850


Answers (1)

best_answer

The given information is:

Number of bats =18

Number of teams =2

Number of bats to each team =9

Pick first 9 bats from 18 bats, 

Total no. of ways of choosing is:

\frac{18 !}{(18-9) ! 9 !}=\frac{18 !}{9 ! 9 !}=8821612800

Pick last 9 bats from 9 bats 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{8821612800}{2}=4410806400

Posted by

vinayak

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