# another math problem (help!)

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This was in my hw the other day and I was wondering if anyone could help...

I need to write a proof, and idk how to even start :(

4. Let x_1, x_2, . . . , x_19 be positive integers each of which is less than or equal to 93. Let y_1, y_2, . . . , y_93 be positive integers each of which is less than or equal to 19. Prove that there exists a (nonempty) sum of some x_is equal to a sum of some y_js.

I need to write a proof, and idk how to even start :(

4. Let x_1, x_2, . . . , x_19 be positive integers each of which is less than or equal to 93. Let y_1, y_2, . . . , y_93 be positive integers each of which is less than or equal to 19. Prove that there exists a (nonempty) sum of some x_is equal to a sum of some y_js.

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