In how many ways can we pick three different numbers out of the group: 1, 2, 3, ..., 100
such that the largest number is larger than the product of the two smaller ones? (The order in which we pick the numbers does not matter.)

You’re ordering more thread for blue jeans co. you usually purchase from ted’s threads, which sells 12 thread spools for $27. you recently received a notice from wade's wares that says you can buy thread from them for $2.30 each for the first 2 dozen and $2 a spool thereafter. you need to order 5 dozen spools. what percentage can you save by going with wade’s wares?