deletions | additions       diff --git a/How_many_ways_can_we__.tex b/How_many_ways_can_we__.tex  index d8542e5..7f8fa2d 100644  --- a/How_many_ways_can_we__.tex  +++ b/How_many_ways_can_we__.tex 
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_ \ _ \ _ \ _ \ _ \ _ \ _ \ _ \ _ \\  Simply put all we are deciding in each case is where to put the bars. Therefore we have 9 slots choose 2 slots to place the bars or $\binom {9}{2}$. Equivelantly, we also have 9 slots choose 7 slots to place the stars or $\binom {9}{7}$. Feel free to verify that those are indeed the same. \\  To finish the problem $\binom{9}{2}= \frac{9!}{7!2!}=36$ \frac{9!}{2!(7-2)!}=36$  different ways to place the candies.