Assume there are three glasses and five bottles on a table.

knoobmath

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Assume there are three glasses and five bottles on a table. Show that if these objects are lined up in a row, two or more bottles will be placed next to each other?
 
Assume there are three glasses and five bottles on a table. Show that if these objects are lined up in a row, two or more bottles will be placed next to each other?
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Regarding the problem - start with a few diagrams. Let us know what you think.
 
Assume there are three glasses and five bottles on a table. Show that if these objects are lined up in a row, two or more bottles will be placed next to each other?
The six vertical line segments [imath]~_1|~_2|~_3|~_4|~_5|~_6|~_7[/imath] create seven places to separate seven objects.
Now try to answer your own question. Post what you find.
 
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