Question

A single basket basketball match will be organized by forming 3 teams in equal numbers from a group of 9 students. In how many ways can these three teams be formed?

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Answer 1

~combination

$\large \sf C(n,r) = \frac{n!}{(n-r)! .r!}$

$\large \sf = C(9,3) = \frac{9!}{(9-3)!.3!}$

$\large \sf = \frac{9!}{6!.3!}$

$\large \sf= \frac{(9.8.7.6.5.4.3.2.1)}{(6.5.4.3.2.1).(3.2.1)}$

$\large \sf = \frac{362880}{720.6}$

$\large \sf = \frac{362880}{4320}$

$\large \sf = \boxed{84}\: ✓$

~ nice to help you ^^