C. Solve the following problems completely. 1) If there are 7 distinct points on a plane with no three of which are collinear, how many different quadrilaterals can be formed? 2) How many different sets of 5 cards each can be formed from a standard deck of 52 cards? 3) In a 10-item Mathematics problem-solving test, how many ways can you select 5 problems to solve? 4) In problem number 3, how many ways can you select the 5 questions if you are required to answer question number 10? 5) In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must have 3 seniors?
It is believed that Uranus exhibits an orbit with a tilt like no other planet. The tilt makes the planet spill out a lot of heat into the space thus retaining very little. Consequently it becomes colder than the other planets.