Fibonacci nim: The next move II. Suppose you are playing a round of Fibonacci nim with a friend. The game begins with 50 sticks. You start by removing three sticks; your friend then takes five; you then take eight; your friend then takes ten. How many sticks should you take next to win?

How do you decide which pattern to use?

Simplify: (6c6d4)(5c2d1)

A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?