In a group of 700 people, must there be 2 who have matching first and last initials? Why? (Assume each person has a first and last name.)
---Select--- Yes No . Let A be the set of 700 distinct people and let B be the different unique combinations of first and last initials. If we construct a function from A to B, then by the ---Select--- pigeonhole zero product mathematical induction principle, the function must be ---Select--- onto, one-to-one, not a one-to-one correspondence . Therefore, in a group of 700 people, it is ---Select--- possible, impossible, that no two people have matching first and last
