Binomial Theorem

i) place santa, how many possible squares can he appear in?

ii) now place the elves. There are 9 squares left and 3 elves. How many ways can you place them? (hint: Think of the n choose k function)

iii) multiply the numbers you came up with in (i) and (ii)

iv) voila
 
Alternatively how many ways can you choose 4 squares from the 10. Once you have the 4 chosen squares in how many ways can you pick one of those squares for the santa?

It amazes me how Romsek and I always think differently when it comes to probability problems!
 
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