A restaurant owner has some numbered coupons for the customer who buy the food there. The coupons have number 3, 12, 15, 6, 36, 51, 78, 93, 21, 24, 39, 30, and 57. The customer will get a television if they collect some coupons that the number have a sum of 100. If he has 10 televisions, and 2 coupons have the same number, how many televisions he should give to the customer?
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We know that the coupons number are a multiple of 3. We also know that a sum of multiple of three will give a multiple of three too. 100 isn't a multiple of three so there won't be any of the customer who get the television.