Question of the Day #328 (24/8/10)

[Kazza]

Oggies ice-creamery shop has 9 delicious flavours. I took my nephews and neices there and bought them each a double scoop ice-cream with 2 different flavours. None of the kids chose the same combination of flavours, and every different combination of flavours is chosen, how many kids are there?


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[wolfe1down]

"You have 1 unchecked Private Message. To check Private Messages, please click the Private Messages link."

 

[SirIsaac]

PM sent...

 

[sxty8goats]

I have sent you a message reguarding the question at the top of this page.

 

[wrlomas]

I too have sent corespondance hither

 

[lsherrer]

PM sent, and now I want my double scoop.

 

[Adirondack Jack]

PM is is scooped up by cyberspace and whisked away....double time.

 

[CHEMIKER]

PM sent. I love factorials!

 

[ELIZABETH]

PM sent. I bet they have marshmallow flavored ice cream, eh? :BLAA:

 

[C-bus Biker]

Pm sent. [/PH:rockon]

 

[Kazza]

Oggies ice-creamery shop has 9 delicious flavours. I took my nephews and neices there and bought them each a double scoop ice-cream with 2 different flavours. None of the kids chose the same combination of flavours, and every different combination of flavours is chosen, how many kids are there?

The number of kids = number of different combinations of 2 different flavours.


1,2 2,3 3,4 4,5 5,6 6,7 7,8 8,9
1,3 2,4 3,5 4,6 5,7 6,8 7,9
1,4 2,5 3,6 4,7 5,8 6,9
1,5 2,6 3,7 4,8 5,9
1,6 2,7 3,8 4,9
1,7 2,8 3,9
1,8 2,9
1,9


36 = 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1

There are 36 nephews & neices


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