A breakfast-food company had a contest in which numbers were placed in breakfast-food bo...

A breakfast-food company had a contest in which numbers were placed in breakfast-food boxes. A prize of $1000 was awarded to anyone who could collect numbers whose sum was 100. The company had thousands of cards made with the following numbers on them:

a. If the company did not make any more cards, is theft a winning combination?

b. If the company is going to add one more number to the list and it wants to make sure the contest has at most 1000 winners, suggest a strategy for it to use.