A) Check-in
B) Handouts
C) Standard Techniques
D) Problem Solving
1) Schemper's Hardware has a number of bicycles and tricycles for sale. If there are a total of 111 wheels and 46 seats, how many bicycles and tricycles does Schemper's have in stock?
2) Show that at a party of 20 people there are at least two people with the same number of friends at the party. Presume that friendship is a mutual connection between two people. (Hint: Consider the following three cases: i) Everyone has at least one friend at the party, ii) precisely one person has no friends at the party, iii) at least two people have no friends at the party.)
3) In any collection of seven natural numbers, show that there must be two whose sum or difference is divisible by 10.
No comments:
Post a Comment