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Mary has 6 identical basil plants, and three different window sills she can put them on. How many ways are there for Mary to put the plants on the window sills, if no window sill can have all six plants?

 Oct 18, 2020
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Mary has 6 identical basil plants, and three different window sills she can put them on. How many ways are there for Mary to put the plants on the window sills, if no window sill can have all six plants?

Put  one plant on each window sill then use stars and bars to work out the number of possible outcomes.  3 plants left

 

three stars and 2 bars

       P P | P | 

 

 

5C2= 10 ways

 

That is assuming that the plants are all identical.

 Oct 19, 2020
edited by Melody  Oct 19, 2020

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