question archive 1) If I wanted to write n 8-question test, using all of the questions (only once), how many different versions of the test could I make? For numbers 10-11, use the formulas for permutations and combinations to find your answer OR write down how you entered into your calculator to find your answer

Subject:MathPrice: Bought3

1) If I wanted to write n 8-question test, using all of the questions (only once), how many different versions of the test could I make? For numbers 10-11, use the formulas for permutations and combinations to find your answer OR write down how you entered into your calculator to find your answer.

2)How many different 6-character passwords can be made using:

letters: A through G, not case-sensitive (i.e., A and a are recognized as the same letter)

digits: 0-9 special characters: * # @ $ % !

a. If characters may be repeated?

b. If characters may not be repeated?

3) In sprucing up the campus this year, the facilities crew is installing flags in a semi-circle around the courtyard. They have two white, four blue, three yellow, and six with the ARCC logo on them. How many different arrangements can be made?

4)Create explain (as you would to a 4th grader) how to get the first seven rows of Pascal's Triangle (for n = 0 through n = 6). There's both an easy way and a harder way...either one is acceptable.

5) Expand the expression ( 3x+2)^{5} using the Binomial Theorem. You do not need to use and calculate (n_{j})to find the binomial coefficient. You may just use Pascal's Triangle from the previous problem. BUT, you must show your work in how you derived each term