Probability Twelve students from the school gather at a park

Probability

Twelve students from the school gather at a park for a game of flag football. The twelve students want to divide into two teams of six students each. How many ways are there for the students to divide into teams?

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Solution

No. of students are 12, each team with the count of 6 to be selected. A selection of 6 students decides the remaining 6 as the other team.

Selection of 6 from the group of 12 are = 12 C 6 = nCr(12,6) = 12! / (12-6)! * 6! = 924 ways are possible