Making Outfits in 2015

John has some number of distinct shirts, some number of distinct pairs of pants, and some number of distinct pairs of shoes. With these, he can make \(2015\) different outfits consisting of a shirt, a pair of pants, and a pair of shoes.

  • If he gets one more pair of shoes, he can make \(403\) more different outfits.
  • If he gets two more shirts, he can make \(130\) more different outfits.
  • If he gets three more pairs of pants, he can make \(465\) more outfits.

What is the combined number of shirts, pants, and shoes that John currently has?

Source: Wjablow Wikimedia Commons. CC BY-SA 3.0
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