How to find the different possible ways of an event.
1) Three scholarships are available for students. Their values are: $2,000, $2,400, $3,000. Twelve students have applied and no student may receive more than one scholarship. Assuming all twelve students are in needs of the funds, how many different ways could the scholarships be awarded?
2) A basketball coat of Duke University is quite concerned about their 40 straight losses. The frustrated coat decided to select the starting line-up for the UCLA game by drawing five names from the 12 available players are random (assuming that each player can play any position).
How many different starting line-ups are possible?