Write a recursive formula that shows how many ways you can tile
a 3xn checkboard with 1x3 tiles. Show how the pattern is establish
by showing how different value n give their corresponding ways to
tile the particular n.
How many ways can you distribute 1 piece of chocolate, 2
licorice sticks, and 7 pixie sticks to 5 children so that each
child has exactly 2 pieces of candy?
Permutation
and Combination
1.
How many ways can
the letters A B C be arranged, using each letter only
once?
2.
A code
has
4 digits in a
specific order, the digits are between 0-9. How many different
permutations are there if one digit may only be used
once?
3.
In how many ways
can three students be selected for a project from a group of
fifteen students?
4.
Richmond Machine
Shop has eight machines but only three spaces available...
a. How many ways are there to rearrange the letters of
Massachusetts?
b. How many ways are there to rearrange such that M can't be at
the beginning and A can't be at the end?
c. How many ways are there to have the two t's consecutively
(next to each other)?