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) = (n!)/((n-r)! .r!)`

`\large \sf = C(9,3) = (9!)/((9-3)!.3!)`

`\large \sf = (9!)/(6!.3!)`

`\large \sf= ((9.8.7.6.5.4.3.2.1))/((6.5.4.3.2.1).(3.2.1))`

`\large \sf = (362880)/(720.6)`

`\large \sf = (362880)/(4320)`

`\large \sf = \boxed{84}\: ✓`

~ nice to help you ^^