Posted by **Anonymous** on Saturday, September 15, 2012 at 10:29am.

A playground is being designed where children can interact with their friends in certain combinations.

If there is 1 child, there can be 0 interactions.

If there are 2 children, there can be only 1 interaction.

If there are 3 children, there can be 4 interactions.

If there are 4 children, there can be 9 interactions.

How many interactions will there be for 8 children?

- math -
**Reiny**, Saturday, September 15, 2012 at 12:01pm
Are they implying that interaction (I) between children (c) is a quadratic function ????

then

I(c)= (c-1)^2

so I(8) = 7^2 = 49

(look like a text-book editor's feeble attempt to "make mathematics real" )

- math -
**Franicsco paulino**, Wednesday, December 12, 2012 at 9:42pm
A playground is being designed where children can interact with their friends in certain combinations.

If there is 1 child, there can be 0 interactions.

If there are 2 children, there can be 6 interactions.

If there are 3 children, there can be 15 interactions.

If there are 4 children, there can be 27 interactions.

How many interactions will there be for 7 children?

60

81

105

108

- math -
**Nicole**, Monday, January 14, 2013 at 5:13pm
105

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