Recent content by valianth1

Turns out 16(mod17) is 16, so how would I go about calculating 16^1000 seeing that the exam does not permit calculators? So would the solution be 16^1000 - 1^2000? So is the solution 15? Because using the calculator returns 0 which I don't think is right

16(mod 17) = -1 and 18(mod 17) = 1, how do I go from here?

Homework Statement Evaluate (16^1000 - 18^2000)(mod 17) Homework Equations I'm not sure how to go about doing this, but I realize it has something to do with the pattern from the last digit obtained from the 2 large numbers The Attempt at a Solution

I'm too dense for "fundamental principle of counting" please explain. If there are 10 questions and I have 4 choices for each question, I take it you have 40 choices in total. For the 2nd part, it should be 8!/(8-3)! = 336 I'm still lost with the third part prof. Thanks for helping me !

Homework Statement Question 1: a) Suppose you have brought four pens of different colours to the exam. For each of the ten question on the exam, you choose one pen. In how many ways can this be done? b) In how many ways can you distribute six bananas and five oranges between three children...