SOLUTION: How many possibilities are there for arranging 5 cups and 5 glasses if all the glasses have to stay together? I can figure this out for the 10 possibilities for the cups and glasse

Question 973263: How many possibilities are there for arranging 5 cups and 5 glasses if all the glasses have to stay together? I can figure this out for the 10 possibilities for the cups and glasses, but the fact that the glasses have to stay together is throwing me off. Thanks
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
This works if the arrangement is one line.
There can be from 0 to five cups to the left
of the glasses with the other cups to the right
of the glasses:
g-g-g-g-g-c-c-c-c-c 1
c-g-g-g-g-g-c-c-c-c 2
c-c-g-g-g-g-g-c-c-c 3
c-c-c-g-g-g-g-g-c-c 4
c-c-c-c-g-g-g-g-g-c 5
c-c-c-c-c-g-g-g-g-g 6
.
6 possible arrangements.
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