Problem 1 How many zeros at the end of 30!

Problem 2 What is the next largest number after 5 which does not occur as the exact number of zeros at the end of some factorial?

Problem 3 How many zeros at the end of 200!

Problem 4 Describe an algorithm to find the number of zeros at the end of n!

Problem 5 How many zeros are there at the end of (5^15)* 10!

Problem 6 If the numbers between 1 and 100 are put into alphabetical order, what is the first prime on the list?

Problem 7 What is the last digit of 3^2714?

Problem 8 44 students come to class and each of them shakes hands with every other student. How many handshakes take place? If there are twice as many people, are there twice as many handshakes?

Problem 9 After detailing the rules of the TV game show ``Jeopardy'', the problem is: what is the theoretical maximum amount of money possible to win on one show?

Problem 10 Compute the sum 1+2+3+4+ ... + 998 + 999 + 1000

Problem 11 A golf store sells golf balls in sleeves of 3 and boxes of 12. The manager reports that 9052 balls have been sold. Should we ask for a recount? If so, why? What about if balls were sold only in boxes of 12 or 20?

Problem 12 Write out the first 10 rows of Pascal's Triangle (described in lecture) What pattern occurs for the number of possible handshakes between n people?