Combinations: Advanced Problems

To find out how many combinations of N objects taken either A or B at  time, add both of the individual combinations NCa + NCb
 Applied Example
Practice Problems
Problem 1) There are eight candidates at school running for three seats in the student government. If you can vote for three or few students. In how many different ways can you vote?  Answer 
Problem 2) Fourteen students want to be in the math club, one of the most popular clubs at school. The club will be able to admit four or fewer students (Only students with at least an A- average in math will be admitted). In how many different combinatios can students join the club?  Answer