p13. Emma has the five letters: A,B,C,D,E. How many ways can she rearrange the letters into words? Note that the order of words matter, ie ABCDE and DEABC are different.
p14. Seven students are doing a holiday gift exchange. Each student writes their name on a slip of paper and places it into a hat. Then, each student draws a name from the hat to determine who they will buy a gift for. What is the probability that no student draws himself/herself?
p15. We model a fidget spinner as shown below (include diagram) with a series of arcs on circles of radii 1. What is the area swept out by the fidget spinner as it’s turned 60o ?
https://cdn.artofproblemsolving.com/attachments/9/8/db27ffce2af68d27eee5903c9f09a36c2a6edf.png
p16. Let a,b,c be the sides of a triangle such that gcd(a,b)=3528, gcd(b,c)=1008, gcd(a,c)=504. Find the value of a∗b∗c. Write your answer as a prime factorization.
PS. You should use hide for answers. Collected [url=https://artofproblemsolving.com/community/c5h2760506p24143309]here. number theoryalgebracombinatoricsgeometryStanford Math TournamentSMT