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Five children play tennis. Each child plays against each of the other children once. How many matches are played?
by Diamond (53,882 points) | 177 views

1 Answer

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let 5 girls be A,B,C,D and E.

Combinations against each  other will be found by matching from 1st girl downwards, but take note not to repeat:

A= AB,AC,AD,AE, A girl has exhausted evryone, we move to next,

B= BC,BD,BE

C= CD,CE

D= DE

E= 0

Hence 10 matches played.

and you can notice the pattern going downwards for next time calculation!!! (4+3+2+1+0) = 10
by Diamond (40,360 points)

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