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Reptile [31]
3 years ago
13

Suppose you begin with a pile of n stones and split this pile into n piles of one stone each by successively splitting a pile of

stones into two smaller piles. Each time you split a pile you multiply the number of stones in each of the two smaller piles you form, so that if these piles have r and s stones in them, respectively, you compute rs. Show that no matter how you split the piles, the sum of the products computed at each step equals n(n − 1)/2.
Mathematics
1 answer:
rodikova [14]3 years ago
7 0
Start with five stones
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