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?
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.