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Combination of r Things from n Things When All Are Not Different

Several teams...

Question

Several teams take part in a competition , each of which must play one game with all the other teams. How many teams took part in the competition if they played 4 games in all ?

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Solution

If there are $n$ teams taking part, then $^{n} C_{2} = 4$ , solving we don't get n as an integer.
Hence answer is zero

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Combination of r Things from n Things When All Are Not Different

Standard XII Mathematics

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