There are 8 students in a small class. To make a team, the names of the 2 of them will be drawn from a hat. How many different teams of 2 students are possible?



Answer :

[tex]_{8} C_2 \\ \\ \frac{8!}{(8-2)!2!} \\ \\ \frac{8!}{6!2!} \\ \\ \frac{8*7*6*5*4*3*2*1}{6*5*4*3*2*1*2*1} \\ \\ \frac{8*7}{2*1} \\ \\ \frac{56}{2} \\ \\ 28 [/tex]

28 different teams

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