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In how many ways 8 students of a class can be divided into 2 teams such that a team contains 4 students in each team.

Option: 1

50


Option: 2

70


Option: 3

35


Option: 4

20


Answers (1)

best_answer

The given information is:

Number of students in a class =8

Number of teams =2

Number of students in each teams =4

Pick first 4 students from 8 students, 

Total no. of ways of choosing is:

\frac{8 !}{(8-4) ! 4 !}=\frac{8 !}{4 ! 4 !}=70

Pick last 4 students from remaining 4 students and the number of ways this can be done is 1 .

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

The total numbers of ways:

\frac{70}{2}=35

Posted by

Anam Khan

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